# Lesson Plan: Graphs of Inverses of Functions Mathematics

This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to use a graph to find the inverse of a function and analyze the graphs for the inverse of a function.

#### Objectives

Students will be able to

• understand that the graph of a function and the graph of its inverse are reflections in the line ,
• identify the graph of the inverse of a function when given the function graph,
• sketch the graph of the inverse of a function when given a function graph,
• identify whether the inverse of a function is itself a function,
• find the points of intersection of the graph of the inverse of a function and the or ,
• find the coordinates of the intersection points of the graph of a function and its inverse.

#### Prerequisites

Students should already be familiar with

• the definition of a function,
• domain and range,
• one-to-one functions,
• the vertical and horizontal line tests.

#### Exclusions

Students will not cover

• finding the inverse of a function algebraically.