Continuity of a Function with a Cube Root
Finding where a function with a fraction and cube root is continuous
Continuity of a Piecewise Function
Author: ShaNisaa RaSun
The following problem is solved in this video. It is recommended that you try to solve the problem before watching the video. You can click "Answer" to reveal the answer to the problem.
Problem: The function \(f\) is given below. Determine where \(f\) is continuous algebraically.\[
f(x) =
\begin{cases}
2x^2-4x-8& x<-1 \\
\\
\dfrac{\sqrt{37+x}}{x-2} & \hspace{-.3cm} -1\leq x<8 \\
\\
\dfrac{x-9}{\sqrt[5]{x^2-8x-9}} & x\geq8\\
\end{cases}
\]
\((-\infty, 2) \cup (2,8)\cup (8,9)\cup(9,\infty)\)
See more videos from this section
Related Videos
Continuity of a Function with a Square Root and Logarithm
Determining where a function with a fraction, square root, and logarithm is continuous
Where the Graph of a Function is Not Continuous
Determining where a piecewise function is continuous from its graph
Solving for a Constant so a Piecewise Function is Continuous
Solving for a constant to make a piecewise-defined function continuous for all real numbers
MATH 140 5.5 Exercise 1
Finding the domain of a piecewise function and evaluating it
Evaluating Limits from a Graph
Finding limits from the graph of a piecewise function
Limit of a Piecewise Function
Finding one and two-sided limits for a piecewise function algebraically
Finding the Derivative of a Root Function Using the Limit Definition
Using the limit definition to find the derivative of a square root function
Using the Product Rule with an Exponential
Finding the derivative of a function with a square root and exponential using the Product Rule
Using Implicit Differentiation to Find a Derivative
Using implicit differentiation to find the derivative of a function
u-Substitution With a Quotient and a Root
Solving an indefinite integral with a cube root in the denominator using u-substitution
WIR1 20B M150 V9
Simplifying an expression with radicals
WIR1 20B M150 V11
Rationalizing the denominator of a fraction with square roots
WIR1 20B M150 V10
Rationalizing the denominator of a fraction with square roots
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 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 2 Review Problems 21-29
Related rates problems, differentials, linear and quadratic approximations
Review for the Common Exam: MATH 151 Exam 3 Review Problems 8-15
Review of limits and derivatives of inverse trigonometric functions
Limits: MATH 151 Problems 6-20
Evaluating limits of functions
Limits: MATH 151 Problems 6-20
Evaluating Limits of Functions
Continuity: MATH 151 2.5 Problems 1-6
Continuity of Functions and the Intermediate Value Theorem
Differentiation and Applications: MATH 151 Problems 1-8
Derivatives of exponential and logarithmic functions and the exponential model
Differentiation and Applications: MATH 151 3.8 Problems 1-8
Derivatives of exponential and logarithmic functions and the exponential model
Riemann Sums: MATH 151 5.1 Problems 1-5
Riemann sums, including approximating areas under curves.
Riemann Sums and Definite Integrals: MATH 151 5.2 Problems 6-12
Using Reimann sums and the Fundamental Theorem of Calculus
Riemann Sums and Definite Integrals: MATH 151 5.3 Problems 6-12
Using Riemann sums and the Fundamental Theorem of Calculus
Integration by Substitution: MATH 151 5.5 Problems 13 & 14
Examples of integration by substitution
MLC WIR 20B M151 week2 #10
Explaining why a piecewise function is discontinuous at a point
MLC WIR 20B M151 week2 #11
Solving for the values for constants to make a piecewise function is continuous
MLC WIR 20B M151 week6 #16
Solving for constants so that a piecewise function is differentiable everywhere
MLC WIR 20B M151 week10 #7
Solving for a constant so that a piecewise function is continuous
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 2 Review Problems 21-29
Related rates problems, differentials, linear and quadratic approximations
Review for the Common Exam: MATH 151 Exam 3 Review Problems 8-15
Review of limits and derivatives of inverse trigonometric functions
Limits: MATH 151 Problems 6-20
Evaluating limits of functions
Limits: MATH 151 Problems 6-20
Evaluating Limits of Functions
Continuity: MATH 151 2.5 Problems 1-6
Continuity of Functions and the Intermediate Value Theorem
Continuity: MATH 171 Problems 6 & 7
Proving a piecewise function and a polynomial are continuous
Differentiation and Applications: MATH 151 Problems 1-8
Derivatives of exponential and logarithmic functions and the exponential model
Riemann Sums: MATH 151 5.1 Problems 1-5
Riemann sums, including approximating areas under curves.
Riemann Sums and Definite Integrals: MATH 151 5.2 Problems 6-12
Using Reimann sums and the Fundamental Theorem of Calculus
Riemann Sums and Definite Integrals: MATH 151 5.3 Problems 6-12
Using Riemann sums and the Fundamental Theorem of Calculus
Integration by Substitution: MATH 151 5.5 Problems 13 & 14
Examples of integration by substitution
Continuous Functions of Two Variables Example 2
Determining if a piecewise function of two variables is continuous at a point
Math 140 Exam 3 Review Exercise 9
Finding the domain of a piecewise-defined function and evaluating it for given x-values
Roots of a Square Root Function
Finding the roots of a square root function
Domain of Function with Roots
Finding the domain of a function with a fraction and radicals
Domain Restrictions
Explaining domain restrictions for denominators, even roots, and logarithms
Domain of Radical Functions Video 1
Finding the domain of even and odd roots
Domain of Combinations of Functions Video 1
Finding the domain of a function with a denominator, square root, and logarithm
Properties of Radical Functions and Expressions Video 1
Explaining the general properties of even and odd root functions
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 4
Solving equations with multiple radicals
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 1 Review Problems 14-25
Review of limits, continuity, and the Intermediate Value Theorem
MATH 140 2.2 Exercise 1
Writing a function for the value of an item depreciating linearly over time
MATH 140 Exam 1 Review #3
Writing a linear function representing the depreciation of a car
MATH 140 5.5 Exercise 2
Finding the piecewise-defined function for a given graph along with its domain and range
MATH 140 5.5 Exercise 3
Graphing a piecewise function
MATH 140 5.5 Exercise 4
Writing an absolute value function as a piecewise-defined function
MATH 140 5.5 Exercise 5
Writing a piecewise-defined function for a word problem
MATH 140 5.6 Exercise 4
Finding the domain of a function that is a fraction containing an exponential and root
MATH 140 5.6 Exercise 5
Finding the domain of a function that is a fraction containing an exponential and root
MATH 140 5.6 Exercise 6
Finding the domain of a function that is a fraction containing exponentials and a square root
MATH 140 5.7 Exercise 6
Write the equation of a function given the parent function and a list of transformations
MATH 140 5.8 Exercise 9
Finding the domain of a function containing a logarithm, exponential, radical, and fraction
Evaluating One-Sided Limits from a Graph
Finding one-sided limits from the graph of a piecewise function
Evaluating a Limit Numerically
Finding the limit of a function numerically using a calculator
Combinations of Limits from Graphs
Finding limits of combinations of functions using their graphs
Evaluating Limits Algebraically
Using the properties of limits to find several limits algebraically
Limit of a Rational Function
Finding the limit of a rational function algebraically
Limit of a Rational Function 2
Finding the limit of a rational function algebraically
Limit with Multiple Fractions
Finding the limit algebraically of a function with multiple fractions
Limit of a Fraction with a Square Root
Finding the limit algebraically of a function with a square root in the numerator of a fraction
Limit with an Absolute Value
Finding the limit algebraically of a function with an absolute value
Limit at Negative Infinity of a Rational Function
Solving a limit approaching negative infinity for a rational function
Limits at Infinity of a Rational Function
Solving the limits approaching infinity and negative infinity of a rational function
Limits at Infinity of a Rational Function 2
Solving the limits approaching infinity and negative infinity of a rational function
Limits at Infinity of a Fraction with Exponential Functions
Solving the limits approaching infinity and negative infinity with exponential functions in the numerator and denominator
Vertical Asymptotes and Holes of a Rational Function
Finding the holes and vertical asymptotes of a rational function
Horizontal Asymptote of a Fraction with Exponential Functions
Finding the horizontal asymptotes of a function that is a fraction with exponentials in the numerator and denominator
Average Rate of Change from a Table
Finding the average rate of change over time periods from a table
Slope of a Secant Line
Finding the slope of a secant line to a given function
Instantaneous Rate of Change of a Function
Finding the exact value of the instantaneous rate of change
Instantaneous Rate of Change of a Rational Function
Finding the exact value of the instantaneous rate of change
Instantaneous Rate of Change of Profit
Finding the instantaneous rate of change of profit for a given price-demand function and cost function
Slope of a Tangent Line
Finding the equation of the tangent line to a function using the limit definition
Finding the Derivative of a Polynomial Using the Limit Definition
Using the limit definition to find the derivative of a polynomial
Finding the Derivative of a Rational Function Using the Limit Definition
Using the limit definition to find the derivative of a rational function
Determining Where the Derivative Exists From a Graph
Determining where the derivative of a function does not exist from a graph
Finding a Derivative with Exponential Functions and Logarithms
Finding the derivative a function with a power, exponential, and logarithm
Finding a Derivative by Simplifying a Rational
Finding the derivative of a rational function by simplifying and using the power rule
Evaluating Derivatives From a Given Table
Finding and evaluating derivatives using values given in a table
Calculating Marginal Revenue
Finding the marginal revenue given the price-demand function for a word problem
Using the Product Rule with a Logarithm
Finding a derivative of a function with a logarithm using the Product Rule
The Quotient Rule with an Exponential
Finding the derivative of a fraction with an exponential using the Quotient Rule
Using Both the Quotient and Product Rule
Finding a derivative using both the Product and Quotient Rule
Using the Product and Quotient Rules with a Table
Finding a derivative using the Product and Quotient Rule and values given in a table
Using the Generalized Power Rule
Finding the derivative of a function using the Generalized Power Rule
Using the Generalized Exponential Rule
Using the Generalized Exponential Rule to find the derivative of a function
Using Log Properties to Simplify Before Taking the Derivative
Using logarithm properties to simplify before using the Chain Rule to find a derivative
Using Log Properties to Simplify Before Taking the Derivative 2
Using logarithm properties to simplify before using the Generalized Logarithm Rule to find a derivative
Using the Chain Rule with a Table
Using the chain rule to find derivates with some values given in a table
Calculating the Rate of Growth With Compound Interest
Finding the rate a balance is increasing for interest compounded monthly and continuously
Using the Alternate Form of the Chain Rule
Using the alternate form of the Chain Rule to find the derivative
Using Logarithmic Differentiation to Find a Derivative
Finding the derivative of a function that requires logarithmic differentiation
Using Implicit Differentiation to Find a Derivative 2
Using implicit differentiation to find the derivative of a function
Solving a Related Rates Word Problem About Liquid Filling a Sphere
Finding the rate water is flowing into an expandable sphere given the rate a sphere is growing
Solving a Related Rates Word Problem About Profit
Finding the rate of change of profit given the rate of increase for sales
Solving a Related Rates Word Problem About a Sliding Ladder
Finding how fast a ladder moves up a wall as the bottom is being pushed
Finding Critical Values
Finding the critical values for several functions
Finding Where a Function is Increasing and Decreasing
Determining the intervals where a function is increasing and decreasing
Increasing and Decreasing and Local Extrema
Finding the intervals where a function is increasing/decreasing and the local extrema
Increasing and Decreasing and Local Extrema for a Revenue Function
Finding intervals of increase/decrease and the local extema for revenue from a word problem
Using the Quotient Rule Twice to Find the Second Derivative
Using the quotient rule twice to find the second derivative of a rational function
Inflection Points and Intervals of Concavity for an Exponential Function
Finding the intervals of concavity and inflection points for a function with exponentials
Inflection Points and Intervals of Concavity from a Graph
Determining the intervals of concavity and inflection points from the graph of a function
Local and Absolute Extrema from a Graph
Finding all local and absolute extrema of a function from a graph
Absolute Extrema on a Closed Interval
Finding the absolute maximum and minimum of a rational function on two closed intervals
Absolute Extrema on a Closed Interval 2
Finding the absolute maximum and absolute minimum of a rational function on two closed intervals
Maximizing a Product of Numbers
Finding the maximum product of two numbers given their sum is 100
Finding the Price to Maximize Profit
Finding the selling price of trucks to maximize profit given the cost and price-demand functions
Finding the Box with the Largest Volume
Finding the dimensions of the box with the largest volume given the amount of material to make the box
Minimizing the Cost of a Box
Finding the minimum cost of a box given the volume and cost of materials
Finding an Antiderivative
Finding the antiderivative of a function
Finding an Indefinite Integral
Evaluating an indefinite integral with an exponential
Finding an Indefinite Integral with a Fraction
Solving an indefinite integral by first simplifying the fraction
Finding a Function from its Derivative and One Value
Solving for a function given its derivate and one value
Finding the Cost Function from Marginal Cost
Solving the antiderivative of marginal cost to find the cost function and evaluating a particular cost
u-Substitution With an Exponential Function
Solving an indefinite integral with an exponential function suing u-substitution
u-Substitution With a Natural Logarithm
Solving an indefinite integral with a natural logarithm using u-substitution
u-Substitution With a Quotient and Exponentials
Solving an indefinite integral with exponentials in a quotient using u-substitution
Finding the Function from Its Derivative Using u-Substitution
Using u-substitution in an indefinite integral to find a function from its derivative and a given vaue
Calculating Profit From Marginal Profit Using u-Substitution
Calculating profit from marginal profit using an indefinite integral and u-substitution
Calculating the Exact Area Under a Curve With Geometry
Using geometric formulas for circles, triangles, and rectangles to find the exact area under a curve
Introduction to Riemann Sums
Estimating the area under a function using right-hand, left-hand, and midpoint Riemann sums
Estimating Area With a Right-Hand Riemann Sum
Estimating the area under a curve using right-hand Riemann sums
Estimating Area With a Left-Hand Riemann Sum
Estimating the area under a curve using left-hand Riemann sums
Estimating Area With a Midpoint Riemann Sum
Estimating the area under a curve using midpoint Riemann sums
Estimating the Area Under a Curve With a Riemann Sum
Estimating the area under a graph using right-hand Riemann sums
Calculating a Definite Integral From a Graph
Calculating a definite integral by finding the area under a curve using geometry
Definite Integral Comparison Properties
Comparing two definite integrals with the same limits of integration
Evaluating a Definite Integral
Using the Fundamental Theorem of Calculus to evaluate a definite integral
Evaluating a Definite Integral 2
Using the Fundamental Theorem of Calculus to evaluate a definite integral
Evaluating a Definite Integral with u-Substitution
Using the Fundamental Theorem of Calculus and \(u\)-substitution to evaluate a definite integral
Part 1 of the Fundamental Theorem of Calculus
Using Part 1 of the Fundamental Theorem of Calculus to find the derivative of a function defined using an integral
Solving a Word Problem With a Definite Integral
Solving a word problem using a definite integral and the Fundamental Theorem of Calculus
Average Value of a Function
Finding the average value of a a function on an interval using a definite integral
Area Between Two Curves
Finding the area between two curves on an interval using a definite integral
Area of the Region Bounded by Two Curves
Finding the area of a region bounded by two curves using definite integrals
Higher Derivatives Example 2
Using derivatives to find the velocity and acceleration functions from the position function
WIR1 20B M150 V8
Simplifying an expression with radicals
WIR7 20B M150 V14
Calculating the difference quotient for function with a square root
WIR2 20B M150 V9
Evaluating a piecewise function
WIR2 20B M150 V10
Finding the domains of functions
WIR8 20B M150 V03
Finding the domains of expressions
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
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
Inverse Trigonometric Functions: MATH 151 1.5 Problems 9-12
Properties and derivatives of inverse trigonometric functions
Approximations and Exponentials: MATH 151 2.6 Problems 7-14
Approximation and Newton's Method, and limits and derivatives of exponential functions
Limits and Asymptotes: MATH 151 2.6 Problems 7-11
Limits at infinity and asymptotes, along with physics applications
Limits and Asymptotes: MATH 151 2.7 Problems 7-11
Limits at infinity, asymptotes, and tangent lines
Review for the Common Exam: MATH 151 3.1 Exam 1 Review Problems 26-35
Review of the limit definition of a derivative and calculating the derivative
Differentials and Approximations: MATH 151 3.10 Problems 1-6
Differentials, linear approximations and quadratic approximations
Review for the Common Exam: MATH 151 3.2 Exam 1 Review Problems 26-35
Review of the limit definition of a derivative and calculating the derivative
Approximations and Exponentials: MATH 151 3.4 Problems 7-14
Approximation and Newton's Method, and limits and derivatives of exponential functions
Inverse Trigonometric Functions: MATH 151 Problems 9-12
Properties and derivatives of inverse trigonometric functions
Studying the Shape of Curves: MATH 151 4.1 Problems 2-7
Using derivatives to find properties of graphs
Studying the Shape of Curves: MATH 151 Problems 2-7
Using derivatives to find properties of graphs
MLC WIR 20B M151 week2 #09
Evaluating one-sided and two-sided limits of a piecewise
MLC WIR 20B M151 week3 #18
Solving for the value of a constant that makes a function is continuous everywhere
MLC WIR 20B M151 week3 #22
Finding the derivative of a function using the limit definition
MLC WIR 20B M151 week6 #11
Using a linear approximation to approximate the value of a function
MLC WIR 20B M151 week10 #17
Finding the value for a function that satisfies the Mean Value Theorem on an interval
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 a Review Problems 1-4
Reviewing u-Substitution
Review for the Common Exam: MATH 152 Exam 3 c Review Problem 9
Review of finding the radius and interval of convergence for a power series
Review for the Common Exam: MATH 152 Exam 3 c Review Problems 13-18
Review of Taylor and Maclaurin Series and their properties
Review for the Common Exam: MATH 152 Exam 3 c Review Problems 19 & 20
Review of Taylor Polynomials and Taylor's Inequality
WIR 20B M152 V85
Converting parametric equations into a Cartesian equation and graphing
Taylor Polynomials: MATH 152 11.11 Problem 11
Finding a Taylor Polynomial for a function
WIR 20B M152 V8
Finding the area of a region enclosed by two curves
WIR 20B M152 V10
Finding the area of a region bounded by curves
WIR 20B M152 V16
Finding the volume of a solid of revolution using the washer method
WIR 20B M152 V18
Finding the volume of a solid of revolution using cylindrical shells
WIR 20B M152 V4
Integrating a function with a square root using u-substitution
WIR 20B M152 V41
Using the comparison test to determine if an improper integral converges or diverges
WIR 20B M152 V42
Using the comparison test to determine if an improper integral converges or diverges
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
Inverse Trigonometric Functions: MATH 151 1.5 Problems 9-12
Properties and derivatives of inverse trigonometric functions
Limits: MATH 171 Problems 8 & 9
Proving a property of scalar multiplication for limits using the epsilon-delta definition and using the Squeeze Theorem for Limits.
Continuity: MATH 171 Problems 8 & 9
Proving a product of continuous functions is continuous and using the Intermediate Value Theorem
Approximations and Exponentials: MATH 151 2.6 Problems 7-14
Approximation and Newton's Method, and limits and derivatives of exponential functions
Limits and Asymptotes: MATH 151 2.6 Problems 7-11
Limits at infinity and asymptotes, along with physics applications
Limits and Asymptotes: MATH 151 2.7 Problems 7-11
Limits at infinity, asymptotes, and tangent lines
Derivatives and Rates of Change: MATH 171 Problems 1-3
Using the limit definition to find derivatives of functions and vector functions
Differentiation Formulas: MATH 171 Problems 4 & 5
Using the limit definition to find a derivative and proving the power rule
Review for the Common Exam: MATH 151 3.1 Exam 1 Review Problems 26-35
Review of the limit definition of a derivative and calculating the derivative
Differentials and Approximations: MATH 151 3.10 Problems 1-6
Differentials, linear approximations and quadratic approximations
Review for the Common Exam: MATH 151 3.2 Exam 1 Review Problems 26-35
Review of the limit definition of a derivative and calculating the derivative
Trigonometry Derivatives and the Chain Rule: MATH 171 Problems 1-3
Proving the derivatives of trigonometric functions and that sine is continuous
Approximations and Exponentials: MATH 151 3.4 Problems 7-14
Approximation and Newton's Method, and limits and derivatives of exponential functions
Inverse Trigonometric Functions: MATH 151 Problems 9-12
Properties and derivatives of inverse trigonometric functions
Studying the Shape of Curves: MATH 151 4.1 Problems 2-7
Using derivatives to find properties of graphs
Studying the Shape of Curves: MATH 151 Problems 2-7
Using derivatives to find properties of graphs
L'Hospital's Rule: MATH 171 Problems 7-9
Proving L'Hospital's Rule and using it to evaluate limits
Definite Integrals: MATH 171 Problems 5-9
The definition and properties of definite integrals
Fundamental Theorem of Calculus: MATH 171 Problems 1-3
Proving and then applying the Fundamental Theorem of Calculus
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 a Review Problems 1-4
Reviewing u-Substitution
Review for the Common Exam: MATH 152 Exam 3 c Review Problem 9
Review of finding the radius and interval of convergence for a power series
Review for the Common Exam: MATH 152 Exam 3 c Review Problems 13-18
Review of Taylor and Maclaurin Series and their properties
Review for the Common Exam: MATH 152 Exam 3 c Review Problems 19 & 20
Review of Taylor Polynomials and Taylor's Inequality
Taylor Polynomials: MATH 152 11.11 Problem 11
Finding a Taylor Polynomial for a function
Work and Average Value: MATH 152 Problems 1-9
Using integrals to solve work problems and find the average value
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
WIR3 20B M251 V1
Finding and sketching the domain of a function of two variables
WIR3 20B M251 V2
Finding and sketching the domain of a function of two variables
Cumulative Distribution Function Video 2
Explaining the properties of a cumulative distribution function for a random variable
Cumulative Distribution Function Exercise 2
Finding the cumulative distribution function for a random variable from its probability distribution function
Continuous Functions of Two Variables Example 1
Determining if a piecewise function of two variables is continuous
Pythagorean Theorem
Explaining the Pythagorean Theorem and using it to find a missing side in a right triangle
Math 140 5.4 Exercise 3
Rewriting a function with a fractional exponent in radical form
Math 140 5.4 Exercise 4
Writing the domain of functions with radicals in interval notation
Math 140 5.4 Exercise 5
Computing and simplifying the difference quotient for a function with a fractional exponent
Math 140 Exam 3 Review Exercise 13
Stating the domain in interval notation of a function with radicals, fractions, and exponentials
Math 140 Exam 3 Review Exercise 16
Writing a piecewise-defined function for the late fees charged by a library
Math 140 Exam 3 Review Exercise 18
Using properties of logarithms to write an expression as a single logarithm
Math 140 Exam 3 Review Exercise 15
Writing the equations for given parent functions and a list of transformations
Math 140 Exam 3 Review Exercise 3
Writing an absolute value function as an equivalent, piecewise-defined function
Math 140 Exam 3 Review Exercise 6
Writing the radical representation for functions with fractional exponents
Roots of a Quadratic
Using the quadratic formula to find the roots of a function
Roots of a Polynomial
Finding the roots of a cubic polynomial
Roots of a Function with an Absolute Value
Finding the roots of a function with an absolute value
Domain of a Square Root Function
Finding the domain of a function with a quadratic inside a square root
Composition of Square Root and Power Functions
Finding the composition of two functions with a square root and a fractional exponent
Composition of Cube Root and Power Functions
Finding the composition of two functions with a cube root and a fractional exponent
Inverse of a Square Root Function
Finding the inverse of a square root function and its domain
A Composition of Tangent and Arccosine
Evaluating a composition of tangent and arccosine
Plotting Multiple Expressions in One Graph in Python
Graphing a piecewise function using Python
Using Variables in Python
Defining variables in Python and using the variables in equations
Domain of Radical Functions Video 2
Finding the domain of functions with even and odd roots
Domain of Combinations of Functions Video 3
Finding the domain of a function with a square root in the denominator
Domain of Combinations of Functions Video 4
Finding the domain of a function with a root and a logarithm in the denominator
Solving Rational Equations Video 2
Solving an equation that contains rational expressions
Solving Rational Equations Video 3
Solving an equation that contains rational expressions
Solving Radical Equations Video 3
Solving equations with odd radicals
Cumulative Distribution Function Video 2
Explaining the properties of a cumulative distribution function for a random variable
Cumulative Distribution Function Exercise 2
Finding the cumulative distribution function for a random variable from its probability distribution function
Introduction to Riemann Sums
Estimating the area under a function using right-hand, left-hand, and midpoint Riemann sums
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