# Graph the Inverse of a Function Worksheets

How to Graph the Inverse of a Function - When you are dealing with functions, there is a high chance that you hear the term, 'inverse of a function.' So, what is an inverse of a function? The inverse of a function is when you reverse the entire function. For example, if you have function 'f' and you put 'x' in it, the result is 'y,' inverse of this function will give the result 'x.' Graphing an inverse function is something that not many students understand, but it is pretty simple. You have to remember one small detail that an inverse function's graph is the reflection of the function with y=x as the mirror line that passes through the origin and has a slope of 1. The x values become the y values and vice versa. Once you know how to reflect the points, you will get a grasp of it. Until then do this, Create a data table with your choice of values for 'x' and finding corresponding values of 'y.' Plot the values on the graph. Find the inverse of a function. Now use the same values you used for x, for y, and create a data table. Plot the graph and see the reflection.

• ### Basic Lesson

Guides students determining if an inverse function is properly graphed. If ANY horizontal line intersects the original function in ONLY ONE location, your function has an inverse which is also a function. The inverse of the graph shown below will be a function. (True or False) This graph fails the horizontal line test. So the inverse of this graph will NOT be a function.

• ### Intermediate Lesson

Demonstrates how to compare two graphs and determine if they are inverse. The graphs shown are inverses of one another. (True or False) Yes, it can be seen from observing points on the graph. That the x and y coordinates have swapped places. It can also be seen that the graphs are reflections over the identity line y = x.

• ### Independent Practice 1

A really great activity for allowing students to understand the concept of Graphically Representing the Inverse of a Function. Solve the following problems involving graphs and their inverses. (True or False)

• ### Independent Practice 2

Students Graphically Represent the Inverse of a Function in assorted problems. The answers can be found below.

• ### Homework Worksheet

Students are provided with problems to achieve the concepts of Graphing the Inverse of a Function.

• ### Skill Quiz

This tests the students ability to Graphically Represent the Inverse of a Function.