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# Chapter 1: Analyzing Functions

Difficulty Level: At Grade Created by: CK-12

## Introduction

This section focuses on investigating functions both graphically and mathematically.

Lessons in this section specifically teach:

Identifying the maximum and minimum values of a function both by investigating a graph and using Algebra.
Identifying the rate of change of a function
Understanding the concept of limit
Recognizing and using asymptotes
Understanding and using function notation
Parent functions and the use of transformations
Recognizing the difference between functions and relations
Understanding the concept of intervals and the use of interval notation

By the time you finish this section, you should have a fresh understanding of what functions are, and how to manipulate them to find specific bits of information.

## Summary

The concepts in this section explore the identification, transformation, combination, and application of linear, quadratic, cubic, and non-standard functions.

Prerequisites should include:

A solid understanding of arithmetic, pre-algebra, and manipulation of equations
Exposure to graphing with the Cartesian coordinate system
Familiarity with the concepts of infinity and absolute value

A basic familiarity with the concept of functions and the use of a graphing calculator
Previous exposure to graphing quadratic functions and shapes
A basic understanding of interval notation

Nov 01, 2012