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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 Square Root Function

Finding the roots of a square root function

MATH 140 5.5 Exercise 4

Writing an absolute value function as a piecewise-defined function

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 5.7 Exercise 8

Evaluating compositions of two given functions and the graph of a third function

Limit with an Absolute Value

Finding the limit algebraically of a function with an absolute value

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

Determining where a piecewise function is continuous algebraically

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

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 V6

Solving an inequality with an absolute value and graph its solution set

WIR8 20B M150 V06

Solving an inequality with an absolute value

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

Vectors: MATH 151 J.1 Problems 1 & 2

Basic Vector Operations such as Addition, Subtraction, and Scalar Multiplication

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 3 Review Problems 1-7

Derivatives of exponential functions and the exponential model

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 151 Problems 6-20

Evaluating limits of functions

Limits: MATH 151 Problems 6-20

Evaluating Limits of Functions

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

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

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

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

MLC WIR 20B M151 week2 #08

Evaluating left and right limits of a fraction containing an absolute value

Vectors: MATH 171 Problems 1 & 2

Proving associative and scalar multiplication properties for vectors

Vectors: MATH 151 J.1 Problems 1 & 2

Basic Vector Operations such as Addition, Subtraction, and Scalar Multiplication

Review for the Common Exam: MATH 151 Exam 3 Review Problems 1-7

Derivatives of exponential functions and the exponential model

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 151 Problems 6-20

Evaluating limits of functions

Limits: MATH 151 Problems 6-20

Evaluating Limits of Functions

Limits: MATH 171 Problem 7

Proving a property for limits of sums using the epsilon-delta definition

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.

Precise Definition of a Limit: MATH 171 Problems 3 & 4

Proving limits using the epsilon-delta definition

Precise Definition of a Limit: MATH 171 Problems 5 & 6

Proving limits using the epsilon-delta definition

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

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

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

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

Math 140 Exam 3 Review Exercise 3

Writing an absolute value function as an equivalent, piecewise-defined function

Math 140 Exam 3 Review Exercise 9

Finding the domain of a piecewise-defined function and evaluating it for given x-values

Math 140 Exam 3 Review Exercise 14

Writing the equations for given parent functions and a list of transformations

Equation of a Line Given Two Points

Writing the equation of a line passing through two points

Slope-Intercept Form of an Equation for a Line

Writing the equation of a line through two points in slope-intercept form

Standard Form of an Equation for a Line

Writing the equation of a graphed line in standard form

Factoring a Quadratic

Factoring a quadratic polynomial

Factoring a Quadratic (2)

Factoring a quadratic function

Factoring by Grouping

Factoring a cubic polynomial by grouping

Factoring Out the Greatest Common Factor

Finding the greatest common factor of a polynomial and then factoring it out

Factoring a Quadratic: Leading Coefficient is 1

Factoring a quadratic where the leading coefficient is 1

Factoring a Quadratic: Leading Coefficient is Not 1

Factoring quadratics where the leading coefficient is not 1

Factoring by Grouping (2)

Factoring several polynomials by grouping

Factoring a Difference of Two Squares

Factoring a difference of two squares

Factoring a Sum and Difference of Cubes

Factoring a sum of cubes and a difference of cubes

Simplifying a Rational Expression

Simplifying a rational expression

Subtracting Rational Expressions

Adding and then simplifying two rational expressions

Multiplying Rational Expressions

Multiplying two rational expressions and then simplifying

Dividing Rational Expressions

Dividing rational expressions and then simplifying the answer

Adding Rational Expressions

Adding two rational expressions and then simplifying the answer

Holes and Asymptotes of Rational Functions

Finding any holes, vertical asymptotes, and horizontal asymptotes of a rational function

Holes and Asymptotes of Rational Functions (2)

Finding any holes, vertical asymptotes, and horizontal asymptotes of a rational function

Matching a Rational Function with its Graph

Matching a rational function with its graph

Domain of a Rational Function

Finding the domain of a rational function

Domain of a Rational Function (2)

Finding the domain of a rational function

Domain of Function with Roots

Finding the domain of a function with a fraction and radicals

Domain of a Square Root Function

Finding the domain of a function with a quadratic inside a square root

Composition of Polynomial Functions

Finding the composition of two functions

Function Composition with a Rational Function

Finding the composition of a rational function and a quadratic

Composition of Logarithmic and Exponential Functions

Finding the composition of two functions with exponentials and logarithms

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 Linear Function

Finding the inverse of a linear function and its domain

Inverse of a Square Root Function

Finding the inverse of a square root function and its domain

Inverse of a Rational Function

Finding the inverse of a rational function and its domain

Inverse of a Rational Function (2)

Finding the inverse of a rational function and its domain

Difference Quotient of a Quadratic

Finding and simplifying the difference quotient for a quadratic function

Difference Quotient of a Rational Function

Finding and simplifying the difference quotient for a rational function

Difference Quotient of a Square Root Function

Finding and simplifying the difference quotient for a square root function

Solving an Inequality with a Polynomial

Solving an inequality with a polynomial by factoring and using a sign diagram

Solving an Inequality with a Rational Function

Solving an inequality with a rational expression by factoring and using a sign diagram

Solving an Inequality with a Sum of Rational Functions

Solving an inequality with two rational expressions using a sign diagram

Solving an Inequality with by Finding a Least Common Denominator

Solving an inequality with a rational expression using a sign diagram

Solving an Inequality with a Quadratic Function

Solving an inequality with a quadratic by factoring and using a sign diagram

Absolute Maximum or Minimum of a Quadratic

Finding the absolute maximum or absolute minimum of a quadratic

Standard Form of a Quadratic

Writing the standard form of quadratic function given its vertex and one other point

Component Form and Magnitude of a Vector

Finding the component form and magnitude for a vector between two points

Vector Addition and Subtraction and Scalar Multiplication

Performing calculations with vectors including addition, subtraction, and scalar multiplication

Dot Product

Calculating the dot product for three pairs of vectors

Finding a Unit Vector

Finding a unit vector in the direction of a given vector

Solving a System of Equations

Solving a system of two linear equations using the method of substitution

Solving a System of Equations (2)

Solving a system of two linear equations using the method of substitution

Solving a System of Equations (3)

Solving a system of two linear equations

Solving a System of Nonlinear Equations

Solving a system on two equations where one is linear and one is quadratic

An Equation with an Exponential Function

Solving a equation with an exponential function

An Equation with Exponential Functions of Different Bases

Solving an equation with two exponential functions with different bases

Factoring a Quadratic-Like Equation with Exponentials

Solving an equation with exponential functions by factoring

Factoring an Equation with Exponentials

Solving a equation with exponential functions by factoring

Population Model with Exponential Growth

Finding the size of a population of rabbits with exponential growth

Population Model with Exponential Decay

Finding the size of a population of rabbits with exponential decay

Horizontal Asymptote of an Exponential Function

Finding the horizontal asymptote of an exponential function

Horizontal Asymptote of an Exponential Function (2)

Finding the horizontal asymptote of an exponential function

Horizontal Asymptote of an Exponential Function (3)

Finding the horizontal asymptote of an exponential function

Expanding a Logarithmic Expression

Expanding a logarithmic expression using logarithm properties

Condensing a Logarithmic Expression

Condensing logarithmic expressions into a single logarithm

Evaluating Logarithmic Expressions

Finding the exact value of logarithms using logarithmic properties

Vertical Asymptote of a Logarithmic Function

Finding the vertical asymptote of a logarithmic function

Vertical Asymptote of a Logarithmic Function (2)

Finding the vertical asymptote of a logarithmic function

Domain and x-intercepts of a Logarithmic Function

Finding the domain and x-intercepts of a logarithmic function

Domain and x-intercepts of a Logarithmic Function (2)

Finding the domain and x-intercepts of a logarithmic function

Solving an Equation with Logarithms

Solving a logarithmic equation using properties of logarithms

Solving an Equation with a Logarithmic Function

Solving a logarithmic equation using properties of logarithms

Evaluating All Six Trigonometric Functions

Finding the values of all six trigonometric functions of an angle given a right triangle

Evaluating the Other Trigonometric Functions Given Sine

Evaluating the other five trigonometric functions for an acute angle given the value of sine

Evaluating the Other Trigonometric Functions Given Sine (2)

Evaluating the other five trigonometric functions given sine and that tangent is negative

Solving an Equation with Tangent

Finding the solutions to an equation with tangent in a given interval

Solving an Equation with Sine and Cosine

Solving a trigonometric equation with sine and cosine on a given interval

Factoring a Quadratic-Like Equation with Sine

Solving an quadratic-like equation with sine by factoring

Solving an Equation with Cosine

Solving an equation with cosine on a given interval

Solving an Equation with Sine

Solving a trigonometric equation with sine on a given interval

Sketching One Period of a Sine Function

Sketching one period of a transformed sine graph

Sketching One Period of a Cosine Function

Sketching one period of a cosine function with transformations

Properties of a Sine Function

Finding the amplitude, period, phase shift, and vertical shift for a given sine function

Find the Cosine Function for a Graph

Writing a cosine function for a given graph

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 Radical Functions Video 2

Finding the domain of functions with even and odd roots

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 4

Finding the domain of a function with a root and a logarithm in the denominator

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 3

Solving equations with odd radicals

Solving Radical Equations Video 4

Solving equations with multiple radicals

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