# Chapter 3: Functions and Graphs

Difficulty Level:

**Advanced**Created by: CK-12

## Introduction

Here you'll learn the difference between a function and a relation. You will explore both linear and quadratic functions.

## Chapter Outline

- 3.1. The Cartesian Plane
- 3.2. Relations and Functions
- 3.3. Function Notation
- 3.4. Graphs of Linear Functions from Tables
- 3.5. Graphs of Linear Functions from Intercepts
- 3.6. Domain and Range
- 3.7. Graphs of Basic Quadratic Functions
- 3.8. Transformations of Quadratic Functions
- 3.9. Vertex Form of a Quadratic Function

### Chapter Summary

## Summary

You learned what makes a relation a function. You reviewed the Cartesian plane and how to plot points. You learned how to analyze a function's domain and range.

You explored linear functions and how to graph them using a table of values or intercepts. You also explored quadratic functions. You learned how to transform quadratic functions and write the equation of a parabola in vertex form.

### Image Attributions

## Description

This chapter introduces the concept of a function and explores linear and quadratic functions.

## Difficulty Level:

Advanced## Tags:

abscissa
axis of symmetry
Cartesian plane
(26 more)
CK.MAT.ENG.SE.1.Algebra-I-Concepts-Honors.3
continuous
coordinate plane
Coordinates
discrete
domain
Function
horizontal translation
Linear Function
mapping rule
ordinate
Origin
parabola
quadratic function
range
relation
Transformation
vertex
vertex form
vertical line test
vertical translation
verticla stretch
x-axis
x-intercept
y-axis
y-intercept

## Subjects:

## Search Keywords:

range
Transformation
Coordinates
(26 more)
Origin
Linear Function
Function
domain
vertex
Cartesian plane
vertical line test
relation
ordinate
y-axis
x-axis
x-intercept
y-intercept
vertex form
quadratic function
parabola
axis of symmetry
discrete
continuous
abscissa
horizontal translation
vertical translation
mapping rule
verticla stretch
CK.MAT.ENG.SE.1.Algebra-I-Concepts-Honors.3

## Date Created:

Dec 19, 2012## Last Modified:

Apr 29, 2014
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