Categorizing some functions as one-to-one
Performing function composition
Finding inverses of functions
Working with piecewise functions
What to Watch Out For
Don’t let common mistakes trip you up; watch for the following when working with functions:
Making the correct exclusions in the domains of functions that have radicals or fractions in their function rule
Distributing factors correctly when performing function compositions
Squaring and cubing binomials correctly when performing function compositions
Working through the correct steps when solving for a function’s inverse
Determining a Function’s Domain and Range
241–250 Find the domain and range of the function.
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Finding Inverses of Functions
251–260 Find the inverse of the function.
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Recognizing Even and Odd Functions
261–270 Determine if the function is even or odd and whether it’s one-to-one.
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Performing the Composition Operation on Functions
271–280 Find the composition of
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Creating a Difference-Quotient and Simplifying
281–290 Given f(x), find the difference-quotient
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