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Inverse Functions Pages in Text Any Relevant Graphics or Videos

By the end of this lesson, I will be able to answer the following questions… 1. How do I build an inverse function algebraically from an original function? 2. What are the characteristic of inverse functions? 3. What is a one-to-one function? 4. 5.

Vocabulary 1. Inverse function notation: 2. One-to-one function:

Prerequisite Skills with Practice Manipulating equations: Draw Inverse on Calc:

Definition of inverse functions. Suppose f(x) and g(x) are inverse functions. The following would hold true…. 1.f[g(x)]=x and g[f(x)]=x 2. The Domain of f(x) becomes the Range of g(x) and Range of f(x) becomes the Domain g(x) 3. Graphs of f(x) and g(x) reflect about the y=x axis. Verify that and are inverses.

Finding the inverse of functions algebraically. 1.Switch x and y. 2.Solve for y. Other things to consider… One-to-one? Restricted domain? Inverse can’t be found by conventional means?

Interpreting inverse values/ regular values from a graph.

Page 69 - (11-20) all 25, 27 (29- 34) all (59-68) all (79-102) all Rock It! Yeah!!!!!!!!!!!!!!!!!!