Functions and Inverses of Functions

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FUNCTIONS AND INVERSES OF FUNCTIONS

Unit Overview
The unit begins with basic function concepts: functions as relations, domain, range, and evaluating functions. The unit continues with finding the inverse of functions, and determining whether the inverse of a function is a function.

Review of Functions

Introduction: Functions Relate Elements of Sets (02:04)

Functions, Domain, and Range -- Burning Calories (02:34)

Stop! Go to Questions #1-8 about this section, then return to continue on to the next section.

Inverses of Functions

What point on g (x) is the inverse of point (0, 1) on f (x)?

The reflected point is (1, 0).

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In general, any point (x, y) in f (x) becomes what ordered pair in its inverse, g (x)?

( y, x )

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Stop! Go to Questions #9-16 about this section, then return to continue on to the next section.

Try this! Find the inverse of the point (2, –6).

Answer: (–6, 2)

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Try this! Find the inverse of f (x) = x – 19.

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Find f^–1(8) for the previous function.

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Try this! Find the inverse of .

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Inverse Functions (05:36)

Stop! Go to Questions #17-30 to complete this unit.

Below are additional educational resources and activities for this unit.

Domain and Range

Function Inverses