Mary Jane Sterling - Pre-Calculus - 1001 Practice Problems For Dummies (+ Free Online Practice)

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101–110Solve for x. Check for any extraneous solutions.

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111–120Simplify by rationalizing the denominator.

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Chapter 3

A function is a special type of rule or relationship. The difference between a function and a relation is that a function has exactly one output value (from the range) for every input value (from the domain). Functions are very useful when you’re describing trends in business, heights of objects shot from a cannon, times required to complete a task, and so on. Functions have some special properties and operations that allow for investigation into what happens when you change the rule.

In this chapter, you’ll work with functions and function operations in the following ways:

Writing and using function notation

Determining the domain and range of different types of functions

Recognizing even and odd functions

Checking on whether a function is one-to-one

Finding inverses of one-to-one functions

Performing the basic operations on functions and function rules

Working with the composition of functions and the difference quotient

Don’t let common mistakes trip you up; keep in mind that when working with functions, your challenges will include

Following the order of operations when evaluating functions

Determining which values need to be excluded from a function’s domain

Working with negative signs correctly when checking for even and odd functions

Being sure a function is one-to-one before trying to determine an inverse

Correctly applying function rules when performing function composition

Raising binomials to higher powers and including all the terms

121−125Evaluate the function for the given value.

121. Given , find .

122. Given , find .

123. Given , find .

124. Given , find .