# ALEX Lesson Plan

## Building Functions:  Inverse Functions from Tables and Graphs

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This lesson provided by:
 Author: Lorie White System: Lauderdale County School: Rogers High School
General Lesson Information
 Lesson Plan ID: 35609 Title: Building Functions:  Inverse Functions from Tables and Graphs Overview/Annotation: This lesson will lead students on a guided discovery to find the inverse of a function given the graph or a table of values. Students will relate the inverse of a graph to finding the reflection of the graph over the line y=x. They will identify characteristics of functions whose inverses are also functions (One-to-One Functions) and will be introduced to the horizontal line test. Students will also apply their knowledge of a graph to a table of values to determine if the table represents a One-to-One Function.This lesson results from the ALEX Resource Gap Project.
Associated Standards and Objectives
Content Standard(s):
 Mathematics MA2015 (2016) Grade: 9-12 Precalculus 22 ) (+) Read values of an inverse function from a graph or a table, given that the function has an inverse. [F-BF4c]

Local/National Standards:

Primary Learning Objective(s):

Students will create the graph of the inverse of a function and use the vertical line test to determine if the inverse is also a function.

They will determine if a function is a One-to-One Function using a variety of methods (inspection of the graph of the inverse, using the Horizontal Line Test, looking for repeated f(x) values in the table of values of the original function).