A Precalculus Outline

Chapter 5: Further Topics in Functions

Section 5.1: Function Composition

Objective: Finding a formula for a composite function

Objective: Finding the domain of a composite function

* Review for Section 5.1

Objective: Function notation

Objective: Finding domain algebraically

Section 5.2: Inverse Functions

Objective: Understanding the concept of inverse functions

Objective: Identifying one-to-one functions using the Horizontal Line Test

Objective: Verifying two functions are inverses using function composition

Objective: Finding a formula for an inverse function

Objective: Graphs of inverse functions

Objective: Restricting a function to make it one-to-one

Objective: Summary of Inverse Functions

* Review for Section 5.2

Section 5.3: Other Algebraic Functions

Objective: Graphing root and radical functions

* Review for Section 5.3

Objective: Using rational exponents to simplify radical expressions

Objective: Solving equations involving radicals

Objective: Identifying extraneous solutions to equations involving radicals

Objective: Solving equations involving rational exponents

Objective: Simplifying radical expressions

Objective: Definition of Rational Exponents

Objective: Simplifying Expressions with Rational Exponents