6-7 Inverse Relations and Functions
Objective
To find the inverse of a relation or function
Lesson Vocabulary
- inverse relation
- inverse function
- one-to-one function
If a relation pairs element a of its domain to element b of its range, the inverse relation pairs b with a. So, if (a, b) is an ordered pair of a relation, then (b, a) is an ordered pair of its inverse. If both a relation and its inverse happen to be functions, they are inverse functions.
Essential Understanding The inverse of a function may or may not be a function.
This diagram shows a relation r (a function) and its inverse (not a function). The range of the relation is the domain of the inverse. The domain of the relation is the range of the inverse.
Problem 1 Finding the Inverse of a Relation
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What is the inverse of relation s?
Think
Switch the coordinates. (
Table of Contents
- 5-1 Polynomial Functions
- 5-2 Polynomials, Linear Factors, and Zeros
- 5-3 Solving Polynomial Equations
- 5-4 Dividing Polynomials
- 5-5 Theorems About Roots of Polynomial Equations
- 5-6 The Fundamental Theorem of Algebra
- 5-7 The Binomial Theorem
- 5-8 Polynomial Models in the Real World
- 5-9 Transforming Polynomial Functions