Properties of Rational Functions and Expressions Video 4
Finding horizontal asymptotes for rational functions
tags:
Algebra Series End Behavior Horizontal Asymptote Polynomial Polynomial Long Division Rational FunctionProperties of Rational Functions and Expressions Video 2
Author: John Fisk
This video explains how to determine the horizontal asymptotes and end behavior of rational functions. There are three cases which depend on comparing the degree of the polynomial in the numerator with the degree of the polynomial in the denominator.
See more videos from this section
Related Videos
Properties of Rational Functions and Expressions Video 5
Determining the end behavior and horizontal asymptotes for rational functions
Properties of Rational Functions and Expressions Video 3
Explaining how to do polynomial long division
Properties of Power and Exponential Expressions Video 4
Properties of exponential growth and decay functions
Properties of Logarithmic Functions and Expressions Video 2
Explaining the basic properties of logarithmic functions
Properties of Rational Functions and Expressions Video 1
Discussing parent functions of rational functions and their properties
MATH 140 WIR7 #6a
Determining the end behavior, real zeros, domain, and y-intercept for a polynomial
MATH 140 WIR7 #6b
Determining the end behavior, real zeros, domain, and y-intercept for a polynomial
MATH 140 WIR7 #6c
Determining the end behavior, real zeros, domain, and y-intercept for a polynomial
MATH 140 WIR7 #6d
Determining the end behavior, real zeros, domain, and y-intercept for a polynomial
MATH 140 WIR7 #6e
Determining the end behavior, real zeros, domain, and y-intercept for a polynomial
MATH 140 WIR 8 Pr 1
Finding the domain, intercepts, asymptotes, and holes of a rational function
MATH 140 WIR 8 Pr 2
Finding the domain, intercepts, asymptotes, and holes of a rational function
MATH 140 WIR 8 Pr 3
Finding the domain, intercepts, asymptotes, and holes of a rational function
Calculus Exam Review (Limits and Continuity/Differentiability II): MATH 142
Review of limits at infinity and continuity of functions
Calculus Exam Review (Derivative Rules): MATH 142
Review of derivative rules such as product, quotient, and chain rule
Calculus Exam Review (Absolute Extrema): MATH 142
Absolute extrema on closed intervals
Continuity of Functions: MATH 142
Determining where functions are continuous
Analyzing Functions IV (Concavity, Inflection Points, Sketching a Graph): MATH 142
Determining concavity and inflection points and sketching the graph
Analyzing Functions (Sketching a Graph): MATH 142
Using the Derivative to Sketch the Graph of a Function
Absolute Extrema on Closed Intervals: MATH 142
Using Critical Values to Find Absolute Extrema on Closed Intervals
Absolute Extrema on Arbitrary Intervals: MATH 142
Finding Absolute Extrema on Open Intervals
Area Between Curves: MATH 142
Solving examples finding the area between curves
More Area Between Curves: MATH 142
Finding the area between two curves
WIR1 20B M150 V16
Dividing rational expressions and simplifying
WIR1 20B M150 V17
Subtracting rational expressions and simplifying
WIR1 20B M150 V18
Performing operations with rational expressions and simplifying
WIR8 20B M150 V04
Performing operations with rational expressions and simplifying
WIR3 20B M150 V4
Finding the end behavior of a polynomial
WIR3 20B M150 V5
Finding the end behavior of a polynomial
WIR3 20B M150 V6
Finding the end behavior of a polynomial
WIR3 20B M150 V7
Finding properties of a polynomial including zeros and end behavior
WIR3 20B M150 V8
Finding properties of a polynomial including zeros and end behavior
WIR3 20B M150 V9
Finding properties of a polynomial including zeros and end behavior
WIR3 20B M150 V10
Using properties of a polynomial to find its graph
WIR3 20B M150 V11
Calculating polynomial long division
WIR3 20B M150 V13
Determining the properties of a rational function and graphing it
WIR8 20B M150 V09
Determining the properties of a rational function and graphing it
Review for the Common Exam: MATH 151 Exam 1 Review Problems 14-25
Review of limits, continuity, and the Intermediate Value Theorem
Review for the Common Exam: MATH 151 Exam 1 Review Problems 26-35
Review of the limit definition of a derivative and calculating the derivative
Review for the Common Exam: MATH 151 Exam 2 Review Problems 21-29
Related rates problems, differentials, linear and quadratic approximations
Review for the Common Exam: MATH 151 Exam 1 Review Problems 26-35
Review of the limit definition of a derivative and calculating the derivative
Review for Common Exam: MATH 151 Exam 3 Review Problems 15-19
Mean Value Theorem and using derivatives to find the shape of curves
Limits: MATH 151 Problems 6-20
Evaluating limits of functions
Limits: MATH 151 Problems 6-20
Evaluating Limits of Functions
Limits and Asymptotes: MATH 151 Problems 7-11
Limits at infinity and asymptotes, along with physics applications
Limits and Asymptotes: MATH 151 Problems 7-11
Limits at infinity, asymptotes, and tangent lines
Review for the Common Exam: MATH 151 Exam 1 Review Problems 26-35
Review of the limit definition of a derivative and calculating the derivative
Review for the Common Exam: MATH 151 Exam 1 Review Problems 26-35
Review of the limit definition of a derivative and calculating the derivative
Studying the Shape of Curves: MATH 151 Problems 2-7
Using derivatives to find properties of graphs
Mean Value Theorem and Studying the Shape of Curves: MATH 151 Problems 1-6
Mean Value Theorem and properties of a graph
Mean Value Theorem and Studying the Shape of Curves: MATH 151 Problems 1-6
Mean Value Theorem and properties of a graph
Studying the Shape of Curves: MATH 151 Problems 2-7
Using derivatives to find properties of graphs
Riemann Sums and Definite Integrals: MATH 151 Problems 6-12
Using Reimann sums and the Fundamental Theorem of Calculus
Riemann Sums and Definite Integrals: MATH 151 Problems 6-12
Using Reimann sums and the Fundamental Theorem of Calculus
MLC WIR 20B M151 week3 #16
Finding the vertical and horizontal asymptotes for a rational function
MLC WIR 20B M151 week4 #1h
Using the Quotient Rule to differentiate a rational function
Integration by Partial Fractions: MATH 152 Problems 12 & 13
Using the method of partial fractions to integrate rational functions
MATH 152: Partial Fraction Decomposition Exercise 2
Using partial fraction decomposition to rewrite and then integrate a rational function
Review for the Common Exam: MATH 151 Exam 1 Review Problems 14-25
Review of limits, continuity, and the Intermediate Value Theorem
Review for the Common Exam: MATH 151 Exam 1 Review Problems 26-35
Review of the limit definition of a derivative and calculating the derivative
Review for the Common Exam: MATH 151 Exam 2 Review Problems 21-29
Related rates problems, differentials, linear and quadratic approximations
Review for the Common Exam: MATH 151 Exam 1 Review Problems 26-35
Review of the limit definition of a derivative and calculating the derivative
Review for Common Exam: MATH 151 Exam 3 Review Problems 15-19
Mean Value Theorem and using derivatives to find the shape of curves
Limits: MATH 151 Problems 6-20
Evaluating limits of functions
Limits: MATH 151 Problems 6-20
Evaluating limits of functions and using the Squeeze Theorem
Continuity: MATH 171 Problems 6 & 7
Proving a piecewise function and a polynomial are continuous
Limits and Asymptotes: MATH 151 Problems 7-11
Limits at infinity and asymptotes, along with physics applications
Limits and Asymptotes: MATH 151 Problems 7-11
Limits at infinity, asymptotes, and tangent lines
Review for the Common Exam: MATH 151 Exam 1 Review Problems 26-35
Review of the limit definition of a derivative and calculating the derivative
Review for the Common Exam: MATH 151 Exam 1 Review Problems 26-35
Review of the limit definition of a derivative and calculating the derivative
Studying the Shape of Curves: MATH 151 Problems 2-7
Using derivatives to find properties of graphs
Mean Value Theorem and Studying the Shape of Curves: MATH 151 Problems 1-6
Mean Value Theorem and properties of a graph
Mean Value Theorem and Studying the Shape of Curves: MATH 151 Problems 1-6
Mean Value Theorem and properties of a graph
Studying the Shape of Curves: MATH 151 Problems 2-7
Using derivatives to find properties of graphs
Riemann Sums and Definite Integrals: MATH 151 Problems 6-12
Using Reimann sums and the Fundamental Theorem of Calculus
Riemann Sums and Definite Integrals: MATH 151 Problems 6-12
Using Reimann sums and the Fundamental Theorem of Calculus
Integration by Partial Fractions: MATH 152 Problems 12 & 13
Using the method of partial fractions to integrate rational functions
WIR2 20B M251 V7
Finding the limit of a three-dimensional vector function
Creating and Manipulating Symbolic Expressions in Python
Creating symbolic expression in Python and then factoring, expanding, and simplifying the expressions
Domain of Combinations of Functions Video 1
Finding the domain of a function with a denominator, square root, and logarithm
Domain of Combinations of Functions Video 3
Finding the domain of a function with a square root in the denominator
Domain of Rational Functions Video 1
Finding the domain of several rational functions
Domain of Rational Functions Video 2
Finding the domain of a rational function
Domain of Rational Functions Video 3
Explaining how to find any holes and vertical asymptotes of a rational function
Domain of Rational Functions Video 4
Finding the domain of a rational function using factoring
Linear Forms Video 2
Discussing properties of linear functions
Linear Graphs Video 1
Discussing the types of linear graphs including horizontal and vertical lines and their properties
Quadratic Equations Video 2
Solving quadratic equations with the difference of two squares formula
Quadratic Form Video 1
Explaining the graph and properties for the parent function of quadratics
Quadratic Form Video 2
Discussing properties of quadratic functions including the vertex, domain, range, and end behavior
Properties of Radical Functions and Expressions Video 1
Explaining the general properties of even and odd root functions
Properties of Power and Exponential Expressions Video 5
Properties of the exponential function with base e
Properties of Rational Functions and Expressions Video 7
How to simplify rational expressions
Properties of Rational Functions and Expressions Video 8
Adding and subtracting rational expressions by finding a common denominator
Properties of Rational Functions and Expressions Video 9
Explaining how to multiply and divide rational expressions
Properties of Rational Functions and Expressions Video 10
Performing algebraic operations with rational expressions and simplifying the answer
Solving Rational Equations Video 1
Solving equations that contain rational expressions
Solving Rational Equations Video 2
Solving an equation that contains rational expressions
Solving Rational Equations Video 3
Solving an equation that contains rational expressions
MATH 140 WIR7 #5
Determining if functions are polynomials and finding their properties
MATH 140 5.5 #1
Finding the domain of a piecewise function and evaluating it
MATH 140 5.6 #1a
Finding the properties of an exponential function including domain, range, end behavior, and intercepts
MATH 140 5.6 #1b
Finding the properties of an exponential function including domain, range, end behavior, and intercepts
MATH 140 5.6 #1c
Finding the properties of an exponential function including domain, range, end behavior, and intercepts
MATH 140 5.7 #1a
Identifying the parent function and transformations for a given graph
MATH 140 WIR 8 Pr 4
Adding and simplifying rational functions
MATH 140 WIR 8 Pr 5
Subtracting rational functions and then simplifying the result
MATH 140 WIR 8 Pr 6
Multiplying two rational functions and simplifying the result
MATH 140 WIR 8 Pr 7
Dividing rational functions and simplifying the result
MATH 140 WIR 8 Pr 8
Dividing and subtraction rational functions and simplifying the result
MATH 140 WIR 8 Pr 9
Computing and simplifying the difference quotient for a rational function
MATH 140 WIR 8 Pr 10
Finding the difference quotient for a quadratic function
Calculus Exam Review (Continuity and Derivatives): MATH 142
Review of continuous functions, the limit definition of the derivative, and instantaneous rate of change
Calculus Exam Review (Limits and Continuity/Differentiability): MATH 142
Review of limits, continuity, and differentiability
Calculus Exam Review (Limits at Infinity with Exponentials): MATH 142
Examples of calculating infinite limits with exponentials in a rational function
Calculus Exam Review (Continuity and Derivatives): MATH 142
Review of continuous functions, the limit definition of the derivative, and instantaneous rate of change
Calculus Exam Review (Derivative Applications): MATH 142
Finding a tangent line and approximating marginal cost
Calculus Exam Review (Marginal Revenue): MATH 142
Finding marginal revenue and approximating the cost of the next item
Calculus Exam Review (Curve Sketching): MATH 142
Using the first and second derivative to sketch the graph of the function
Solving Limits of Rational Functions: MATH 142
Factoring rational functions to solve limits
Limits at Infinity: MATH 142
Limits at infinity of rational functions
Rates of Change and Secant and Tangent Lines: MATH 142
Finding average and instantaneous rates of change and secant and tangent lines
Rates of Change and Secant and Tangent Lines: MATH 142
Finding average and instantaneous rates of change and secant and tangent lines
Power Rule for Derivatives: MATH 142
Using the power rule to find derivatives
Using Derivative Rules to Find Rates of Change: MATH 142
Using derivatives to find instantaneous rate of change
Product, Quotient, and Chain Rules: MATH 142
Examples of Product, Quotient, and Chain Rule
Product, Quotient, and Chain Rules: MATH 142
Examples of Product, Quotient, and Chain Rule
Analyzing Functions III (Extrema, Concavity, Inflection Points): MATH 142
Determining a functions concavity and inflection points
Analyzing Functions (More Curve Sketching): MATH 142
Using Information From the Derivative to Sketch a Graph
Definite Integrals: MATH 142
Examples solving Definite Integrals
Intermediate Value Theorem and Bisection Method Example
Using the Intermediate Value Theorem and Bisection Method to approximate the solution of an equation
Derivatives of Exponential Functions Example 1
Calculating the derivative of a function with exponentials using the chain and product rule
WIR1 20B M150 V15
Factoring a polynomial
WIR8 20B M150 V02
Factoring a quadratic
WIR2 20B M150 V6
Solving a polynomial equation using factoring by grouping
WIR2 20B M150 V7
Solving a rational equation and checking the solutions
WIR8 20B M150 V03
Finding the domains of expressions
WIR3 20B M150 V15
Solving a nonlinear inequality
WIR4 20B M150 V1
Determining properties of an exponential function
WIR4 20B M150 V2
Determining properties of an exponential function
WIR4 20B M150 V3
Determining properties of an exponential function
WIR4 20B M150 V4
Identifying the graph of an exponential function
WIR8 20B M150 V10
Determining properties of an exponential function
WIR7 20B M150 V13
Calculating the difference quotient for a rational function
WIR8 20B M150 V15
Calculating the difference quotient for a rational function
Parametric Curves: MATH 151 Problems 1-5
Cartesian equations and parametric equations of curves
Review for the Common Exam: MATH 151 Exam 3 Review Problems 8-15
Review of limits and derivatives of inverse trigonometric functions
Review for the Common Exam: MATH 151 Exam 2 Review Problems 1-9
Reviewing the chain rule and the derivatives and limits of trigonometric functions
Review for the Common Exam: MATH 151 Exam 3 Review Problems 8-15
Review of limits and derivatives of inverse trigonometric functions
Review for Common Exam: MATH 151 Exam 3 Review Problems 25-30
Antiderivatives and physics applications
Inverse Trigonometric Functions: MATH 151 Problems 9-12
Properties and derivatives of inverse trigonometric functions
Continuity: MATH 151 Problems 1-6
Continuity of Functions and the Intermediate Value Theorem
Approximations and Exponentials: MATH 151 Problems 7-14
Approximation and Newton's Method, and limits and derivatives of exponential functions
Differentials and Approximations: MATH 151 Problems 1-6
Differentials, linear approximations and quadratic approximations
Trigonometry Derivatives and the Chain Rule: MATH 151 Problems 1-9
Derivatives of trigonometric functions and using the Chain Rule
Approximations and Exponentials: MATH 151 Problems 7-14
Approximation and Newton's Method, and limits and derivatives of exponential functions
Trigonometry Derivatives and the Chain Rule: MATH 151 Problems 1-9
Derivatives of trigonometric functions and using the Chain Rule
Inverse Trigonometric Functions: MATH 151 Problems 9-12
Properties and derivatives of inverse trigonometric functions
Differentiation and Applications: MATH 151 Problems 1-8
Derivatives of exponential and logarithmic functions and the exponential model
Differentiation and Applications: MATH 151 Problems 1-8
Derivatives of exponential and logarithmic functions and the exponential model
Riemann Sums: MATH 151 Problems 1-5
Riemann sums, including approximating areas under curves.
Integration by Substitution: MATH 151 Problems 13 & 14
Examples of integration by substitution
MLC WIR 20B M151 week4 #1i
Using the Product Rule to differentiate a function
MLC WIR 20B M151 week4 #1j
Using the Product and Quotient Rules to differentiate a function
MLC WIR 20B M151 week4 #2a
Using the Product Rule to find a first and second derivative
MLC WIR 20B M151 week4 #1ab
Differentiating functions using the Power Rule
MLC WIR 20B M151 week4 #1cd
Differentiating a function using the Power Rule
MLC WIR 20B M151 week4 #1e
Differentiating a function with an exponential function and using the Power Rule
MLC WIR 20B M151 week4 #1f
Using the Product Rule to differentiate a function
MLC WIR 20B M151 week4 #1kl
Using the Chain Rule to differentiate functions
MLC WIR 20B M151 week7 #4a
Evaluating a limit using L'Hospital's Rule
MLC WIR 20B M151 week7 #5
Using the first and second derivatives to sketch the graph of a function
MLC WIR 20B M151 week8 #4a
Finding the antiderivative of a polynomial
MLC WIR 20B M151 week8 #4b
Finding the antiderivative of a polynomial
MLC WIR 20B M151 week8 #5a
Finding a function from its second derivative using antidifferentiation
MLC WIR 20B M151 week8 #5d
Antidifferentiating to find a function from its derivative
MLC WIR 20B M151 week8 #5f
Antidifferentiating twice to find a function from its second derivative
MLC WIR 20B M151 week8 #6
Using antidifferentiation to find the height of a cliff from the impact speed of a dropped stone
MLC WIR 20B M151 week9 #8a
Evaluating a limit using logarithm properties
MLC WIR 20B M151 week9 #8b
Evaluating a limit with an indeterminate difference using a common denominator
MLC WIR 20B M151 week9 #10a
Finding the antiderivative of a polynomial
MLC WIR 20B M151 week9 #10b
Finding the antiderivative of a rational function
MLC WIR 20B M151 week9 #10e
Antidifferentiating twice to find a function from its second d
MLC WIR 20B M151 week9 #10f
Antidifferentiating twice to find a function from its second d
MLC WIR 20B M151 week10 #6a
Evaluating a a limit from the left for a rational function
MLC WIR 20B M151 week10 #6b
Evaluating the limit of a rational function by factoring and cancelling
MLC WIR 20B M151 week10 #6c
Using L'Hospital's Rule to evaluate a limit representing a derivative at a point
MLC WIR 20B M151 week10 #8a
Evaluating the limit at infinity of a rational function
MLC WIR 20B M151 week10 #24a
Evaluating a definite integral containing a polynomial
MLC WIR 20B M151 week10 #24b
Evaluating a definite integral by first simplifying the integrand
MLC WIR 20B M151 week10 #24d
Using u-substitution to evaluate an indefinite integral
MLC WIR 20B M151 week10 #24e
Using u-substitution to evaluate an indefinite integral
Calculus I Integration Review: MATH 151
Examples reviewing integration techniques from Calculus I
Review for the Common Exam: MATH 152 Exam 1 Review Problems 11-14
Review of work and average value
Review for the Common Exam: MATH 152 Exam 1 Review Problems 1-4
Reviewing u-Substitution
Review for the Common Exam: MATH 152 Exam 1 Review Problem 36
Review of partial fractions
Review for the Common Exam: MATH 152 Exam 3 Review Problems 1-3
Review of sequences and finding the sum of a series
Review for the Common Exam: MATH 152 Exam 1 Review Problems 34 & 35
Review of partial fractions
Integration by Substitution: MATH 151 Problems 13 & 14
Examples of integration by substitution
Volume (Disks, Washers, and by Slicing): MATH 152 Problems 2 & 3
Examples finding a volume using disks, washers, and by slicing
Integration by Partial Fractions: MATH 152 Problem 11
Using the method of partial fractions to integrate rational functions
Improper Integrals: MATH 152 Problems 4 & 5
Determining divergence or convergence of improper integrals
WIR 20B M152 V2
Integrating a rational function using u-substitution
WIR 20B M152 V3
Integrating a rational function using u-substitution
MATH 152: u-Substitution Exercise 3
Using u-substitution to integrate a rational function
Cases for Partial Fraction Decomposition
Explaining all four cases of partial fraction decomposition
MATH 152: Partial Fraction Decomposition Exercise 1
Using partial fraction decomposition to rewrite and then integrate a rational function
MATH 152: Partial Fraction Decomposition Exercise 3
Using partial fraction decomposition to rewrite and then integrate a rational function
MATH 152: Partial Fraction Decomposition Exercise 5
Using partial fraction decomposition to rewrite and then integrate a rational function
MATH 152: Partial Fraction Decomposition Exercise 6
Using partial fraction decomposition to rewrite and then integrate a rational function
Vector Functions: MATH 171 Problems 1 & 2
Proving a certain parameterization gives the unit circle and showing vector equations of lines are parallel
Parametric Curves: MATH 151 Problems 1-5
Cartesian equations and parametric equations of curves
Vectors and Derivatives: MATH 171 Problems 1-3
Using the limit definition to find derivatives of functions and vector functions
Derivatives and Applications: MATH 171 Problems 7 & 8
Calculating slopes of tangent lines to parametric curves
Review for the Common Exam: MATH 151 Exam 3 Review Problems 8-15
Review of limits and derivatives of inverse trigonometric functions
Review for the Common Exam: MATH 151 Exam 2 Review Problems 1-9
Reviewing the chain rule and the derivatives and limits of trigonometric functions
Review for the Common Exam: MATH 151 Exam 3 Review Problems 8-15
Review of limits and derivatives of inverse trigonometric functions
Review for Common Exam: MATH 151 Exam 3 Review Problems 25-30
Antiderivatives and physics applications
Inverse Trigonometric Functions: MATH 151 Problems 9-12
Properties and derivatives of inverse trigonometric functions
Continuity: MATH 171 Problems 8 & 9
Proving a product of continuous functions is continuous and using the Intermediate Value Theorem
Continuity: MATH 151 Problems 1-6
Continuity of Functions and the Intermediate Value Theorem
Approximations and Exponentials: MATH 151 Problems 7-14
Approximation and Newton's Method, and limits and derivatives of exponential functions
Derivatives and Rates of Change: MATH 171 Problems 1-3
Using the limit definition to find derivatives of functions and vector functions
The Derivative as a Function: MATH 171 Problems 1-3
Using the limit definition to find derivatives of functions and vector functions
Differentials and Approximations: MATH 151 Problems 1-6
Differentials, linear approximations, and quadratic approximations
Higher Order Derivatives: MATH 171 Problems 4-6
Finding a formula for a higher order derivative and a formula for the second derivative of a product
Trigonometry Derivatives and the Chain Rule: MATH 151 Problems 1-9
Derivatives of trigonometric functions and using the Chain Rule
Trigonometry Derivatives and the Chain Rule: MATH 171 Problems 4 & 5
Using the Chain Rule to prove facts about derivatives
Higher Order Derivatives: MATH 171 Problems 4-6
Finding a formula for a higher order derivative and a formula for the second derivative of a product
Approximations and Exponentials: MATH 151 Problems 7-14
Approximation and Newton's Method, and limits and derivatives of exponential functions
Trigonometry Derivatives and the Chain Rule: MATH 151 Problems 1-9
Derivatives of trigonometric functions and using the Chain Rule
Implicit Differentiation: MATH 171 Problems 6 & 7
Using implicit differentiation to solve a problem and to prove the power rule for rational exponents
Inverse Trigonometric Functions: MATH 151 Problems 9-12
Properties and derivatives of inverse trigonometric functions
Differentiation and Applications: MATH 151 Problems 1-8
Derivatives of exponential and logarithmic functions and the exponential model
Mean Value Theorem: MATH 171 Problems 6-8
Using the Mean Value Theorem to prove facts about functions
Riemann Sums: MATH 151 Problems 1-5
Riemann sums, including approximating areas under curves.
Definite Integrals: MATH 171 Problems 5-9
The definition and properties of definite integrals
Integration by Substitution: MATH 151 Problems 13 & 14
Examples of integration by substitution
Calculus I Integration Review: MATH 151
Examples reviewing integration techniques from Calculus I
Review for the Common Exam: MATH 152 Exam 1 Review Problems 11-14
Review of work and average value
Review for the Common Exam: MATH 152 Exam 1 Review Problems 1-4
Reviewing u-Substitution
Review for the Common Exam: MATH 152 Exam 1 Review Problem 36
Review of partial fractions
Review for the Common Exam: MATH 152 Exam 3 Review Problems 1-3
Review of sequences and finding the sum of a series
Review for the Common Exam: MATH 152 Exam 1 Review Problems 34 & 35
Review of partial fractions
Integration by Substitution: MATH 151 Problems 13 & 14
Examples of integration by substitution
Volume (Disks, Washers, and by Slicing): MATH 152 Problems 2 & 3
Examples finding a volume using disks, washers, and by slicing
Integration by Partial Fractions: MATH 152 Problem 11
Using the method of partial fractions to integrate rational functions
Integration Using Partial Fractions: MATH 172 Problems 8 & 9
Finding a partial fraction decomposition and integrating using partial fractions
Improper Integrals: MATH 152 Problems 4 & 5
Determining divergence or convergence of improper integrals
WIR2 20B M251 V6
Determining the domain of a three-dimensional vector function
WIR2 20B M251 V8
Finding a vector equation for the tangent line to a three-dimensional vector function
WIR2 20B M251 V9
Finding the angle of intersection for two three-dimensional vector functions
Plotting Multiple Expressions in One Graph in Python
Graphing a piecewise function using Python
Domain of Combinations of Functions Video 4
Finding the domain of a function with a root and a logarithm in the denominator
Domain of Logarithmic Functions Video 1
Finding the domain of a logarithmic function
Domain of Radical Functions Video 1
Finding the domain of even and odd roots
Domain of Radical Functions Video 2
Finding the domain of functions with even and odd roots
Domain of Combinations of Functions Video 2
Finding the domain of a function with a natural logarithm and denominator
Domain Restrictions
Explaining domain restrictions for denominators, even roots, and logarithms
Making Linear Functions Video 1
Discussing how to write the equation of a line through two given points
Making Linear Functions Video 2
Writing a linear equation of profit from a business word problem
Solving Linear Equations Algebraically Video 1
Solving a linear equation algebraically and showing how this relates to the graph
Solving Linear Equations Algebraically Video 2
Solving a linear equation algebraically
Solving Linear Equations Algebraically Video 3
Solving a linear equation algebraically and showing how this relates to the graph
Systems of Two Linear Equations in Two Variables Video 1
Explaining the format and possible solutions for a system of two linear equations
Systems of Two Linear Equations in Two Variables Video 2
Solving a system of linear equations with two variables
Systems of Two Linear Equations in Two Variables Video 3
Solving a system of two linear equations with two variables using the elimination method
Systems of Two Linear Equations in Two Variables Video 4
Solving a system of two linear equations using a TI-84 calculator
Systems of Two Linear Equations in Two Variables Video 5
Solving a system of two linear equations using a TI-84 calculator
Systems of Two Linear Equations in Two Variables Video 6
Solving a system of two linear equations using a TI-84 calculator
Linear Forms Video 1
Explaining the main three forms for linear equations
Quadratic Equations Video 1
Explaining the standard form for a quadratic equation and the possible number of solutions
Quadratic Equations Video 3
Solving quadratic equations by factoring
Quadratic Equations Video 4
Solving a quadratic equation by factoring
Quadratic Equations Video 5
Solving a quadratic equation by factoring
Quadratic Equations Video 6
Solving quadratic equations with the quadratic formula and discussing the number of possible solutions
Quadratic Equations Video 7
Explaining when a quadratic equation does not have a real solution
Properties of Radical Functions and Expressions Video 2
How to rewrite radical terms as power terms
Solving Radical Equations Video 1
Explaining how to solve radical equations and then solving example problems
Solving Radical Equations Video 2
Solving equations with even roots and checking the solutions
Solving Radical Equations Video 3
Solving equations with odd radicals
Solving Radical Equations Video 4
Solving equations with multiple radicals
Properties of Power and Exponential Expressions Video 6
Simplifying power and exponential expressions using properties of exponents
Properties of Power and Exponential Expressions Video 7
Simplifying power and exponential expressions using properties of exponents
Properties of Power and Exponential Expressions Video 8
Simplifying power and exponential expressions using properties of exponents
Properties of Power and Exponential Expressions Video 9
Simplifying an expression with both power and exponential functions using properties of exponents
Solving Power and Exponential Equations Video 1
Explaining how to solve equations with power and exponential terms
Solving Power and Exponential Equations Video 2
Solving equations with exponential terms
Solving Power and Exponential Equations Video 3
Solving equations with base e exponential terms
Properties of Power and Exponential Expressions Video 1
Properties of exponents applied to power and exponential expressions
Properties of Power and Exponential Expressions Video 2
Properties of multiplying and simplifying power and exponential expressions
Properties of Power and Exponential Expressions Video 3
Properties of exponents applied to power and exponential expressions
Properties of Logarithmic Functions and Expressions Video 1
Explaining the terminology and rules of logarithms
Properties of Logarithmic Functions and Expressions Video 3
Expanding logarithmic expressions using logarithm rules
Properties of Logarithmic Functions and Expressions Video 4
Condensing a logarithmic expression into a single logarithm
Solving Logarithmic Equations Video 1
Explaining how to solve logarithmic equations
Solving Logarithmic Equations Video 2
Solving logarithmic equations with a single logarithm term
Solving Logarithmic Equations Video 3
Solving logarithmic equations with multiple logarithm terms
Solving Logarithmic Equations Video 4
Solving logarithmic equations with multiple logarithm terms on both sides
Properties of Rational Functions and Expressions Video 6
Explaining basic algebraic operations for fractions
Cases for Partial Fraction Decomposition
Explaining all four cases of partial fraction decomposition
Systems of Two Linear Equations in Two Variables Video 1
Explaining the format and possible solutions for a system of two linear equations