# Graphs and Graphing Utilities

## 2. Functions and Graphs

Graphs and Graphing Utilities

## Plotting Points in the Rectangular Coordinate System

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Graphs and Graphing Utilities

## Graphing an Equation Using the Point-Plotting Method

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Graphs and Graphing Utilities

## Understanding the Viewing Rectangle

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Graphs and Graphing Utilities

## Identifying Intercepts

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Graphs and Graphing Utilities

## Interpret Information Given by Graphs

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Basics of Functions and Their Graphs

## Find the Domain and Range of a Relation

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Basics of Functions and Their Graphs

## Determine Whether a Relation is a Function

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Basics of Functions and Their Graphs

## Determine Whether an Equation Represents a Function

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Basics of Functions and Their Graphs

## Evaluate a Function

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Basics of Functions and Their Graphs

## Graph Functions by Plotting Points

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Basics of Functions and Their Graphs

## Use the Vertical Line Test to Identify Functions

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Basics of Functions and Their Graphs

## Obtain Information About a Function From Its Graph

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Basics of Functions and Their Graphs

## Identifying the Domain and Range of a Function From Its Graph

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Basics of Functions and Their Graphs

## Identify Intercepts from a Function's Graph

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More on Functions and Their Graphs

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

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More on Functions and Their Graphs

## Use Graphs to Locate Relative Maxima or Minima

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More on Functions and Their Graphs

## Test for Symmetry

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More on Functions and Their Graphs

## Identifying Even or Odd Functions and Recognize Their Symmetries

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More on Functions and Their Graphs

## Understand and Use Piecewise Functions

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More on Functions and Their Graphs

## Find and Simplify a Function's Different Quotient

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Linear Functions and Slope

## Calculate a Line's Slope

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Linear Functions and Slope

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

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Linear Functions and Slope

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

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Linear Functions and Slope

## Graph Horizontal and Vertical Lines

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Linear Functions and Slope

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

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Linear Functions and Slope

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

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Linear Functions and Slope

## Model Data with Linear Functions and Make Predictions

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More on Slope

## Find Slopes and Equations of Parallel and Perpendicular Lines

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Transformations of Functions

## Recognizing Graphs of Common Functions

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Transformations of Functions

## Use Vertical Shifts to Graph Functions

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Transformations of Functions

## Use Horizontal Shifts to Graph Functions

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Transformations of Functions

## Use Reflections to Graph Functions

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Transformations of Functions

## Use Vertical Stretching and Shrinking to Graph Functions

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Transformations of Functions

## Use Horizontal Stretching and Shrinking to Graph Functions

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Transformations of Functions

## Graph Functions Involving a Sequence of Transformations

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Combinations of Functions, Composite Functions

## Find the Domain of a Function

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Combinations of Functions, Composite Functions

## Combine Functions Using the Algebra of Function

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Combinations of Functions, Composite Functions

## Form Composite Functions

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Combinations of Functions, Composite Functions

## Determine Domains for Composite Functions

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Combinations of Functions, Composite Functions

## Write Functions as Compositions

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Inverse Functions

## Verify Inverse Functions

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Inverse Functions

## Find the Inverse of a Function

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Inverse Functions

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

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Inverse Functions

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

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Inverse Functions

## Find the Inverse of a Function and Graph Both Functions

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Distance and Midpoint Formulas, Circles

## Find the Distance Between Two Points

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Distance and Midpoint Formulas, Circles

## Find the Midpoint of a Line Segment

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Distance and Midpoint Formulas, Circles

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

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Distance and Midpoint Formulas, Circles

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

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Modeling with Functions

## Construct Functions from Formulas

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Modeling with Functions

## Construct Functions from Verbal Descriptions

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