3. Functions and Graphs

Find the Inverse of a Function

Inverse Functions

Finding the Inverse of a Function or Showing One Does not Exist, Ex 2

Finding the Inverse of a Function or Showing One Does Not Exist, Ex 1

Inverse Functions - The Basics!

Graphing and determining the inverse of a function

The Horizontal Line Test

Verifying Functions are Inverses

Finding the Inverse of a Function or Showing One Does not Exist, Ex 4

Find the Inverse of a Function and Graph Both Functions

The functions in Exercises 93–95 are all one-to-one. For each function, (a) find an equation for f^(-1)x, the inverse function. (b) Verify that your equation is correct by showing that f(f^(-1)(x)) = x and f^(-1)(f(x)) = x. f(x) = (x - 7)/(x + 2)

Horizontal line test

Finding an Inverse by Interchange of Variables

Graphs of Inverses

Finding an Inverse Function by Undoing Steps

The functions in Exercises 93–95 are all one-to-one. For each function, (a) find an equation for f^(-1)x, the inverse function. (b) Verify that your equation is correct by showing that f(f^(-1)(x)) = x and f^(-1)(f(x)) = x. f(x) = 4x - 3

Finding the Inverse of a Function or Showing One Does not Exist, Ex 3

Graphing the inverse of a function given its graph

Horizontal Line Test and One to One Functions

Verifying inverse functions by composition: not inverse | High School Math | Khan Academy

Use the Graph of a One-to-One Function to Graph its Inverse Function on the Same Axes

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1. Fundamental Concepts of Algebra

2. Equations and Inequalities

4. Polynomial and Rational Functions

5. Exponential and Logarithmic Functions

6. Systems of Equations and Inequalities

7. Matrices and Determinants

8. Conic Sections

9. Sequences, Induction, and Probability

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Verify Inverse Functions

Determine if a Function Has an Inverse Function (Using Horizontal Line)

Graph Inverse Function (use one-to-One Function graph)

Find the Inverse of a Function and Graph Both Functions 

Find Slopes and Equations of Parallel and Perpendicular Lines

Interpret Slope as Rate of Change

Find a Function's Average Rate of Change

More on Slope

Recognizing Graphs of Common Functions

Use Vertical Shifts to Graph Functions

Use Horizontal Shifts to Graph Functions

Use Reflections to Graph Functions

Use Vertical Stretching and Shrinking to Graph Functions

Use Horizontal Stretching and Shrinking to Graph Functions

Graph Functions Involving a Sequence of Transformations

Transformations of Functions

Find the Domain of a Function

Combine Functions Using the Algebra of Function

Form Composite Functions

Determine Domains for Composite Functions

Write Functions as Compositions

Combinations of Functions; Composite Functions

Find the Domain and Range of a Relation

Determine Whether a Relation is a Function

Determine Whether an Equation Represents a Function

Evaluate a Function

Graph Functions by Plotting Points

Use the Vertical Line Test to Identify Functions

Obtain Information About a Function From Its Graph

Identifying the Domain and Range of a Function From Its Graph

Identify Intercepts from a Function's Graph

Identify Intervals on Which a Function Increases, Decreases, or Is Constant

Use Graphs to Locate Relative Maxima or Minima

Test for Symmetry

Identifying Even or Odd Functions and Recognize Their Symmetries

Understand and Use Piecewise Functions

Find and Simplify a Function's Different Quotient

Basics of Functions and Their Graphs

Calculate a Line's Slope

Write the Point-Slope Form of the Equation of a Line

Write and Graph the Slope-Intercept Form of the Equation of a Line

Graph Horizontal and Vertical Lines

Recognize and Use the General Form of a Line's Equation

Use Intercepts to Graph the General Form of a Line's Equation

Model Data with Linear Functions and Make Predictions

Linear Functions and Slope

Find the Distance Between Two Points

Find the Midpoint of a Line Segment

 Standard Form of a Circle's Equation

Center and Radius of a Circle Whose Equation Is in Standard Form

Convert the General Form of a Circle's Equation to Standard Form

Distance and Midpoint Formulas; Circles

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How To Influence & Persuade

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Leadership Skills For Rising Stars

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Making Decisions Under Uncertainty

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Mistakes To Avoid When Resolving Conflict

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Strategies To Build Up Your Creativity

Tools For Decision Making

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