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Lesson: Using the Graph of a Function to Find Its Inverse

In this lesson, we will learn how to use a graph to find the inverse of a function and will explore the symmetry between the graph of a function and that of its inverse.

Question Video: Defining Inverse Functions by Restricting Domains

01:22

Worksheet: Using the Graph of a Function to Find Its Inverse • 7 Questions

Q1:

The graphs of and its inverse intersect at three points, one of which is .

Determine the value of .

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Find the -coordinate of the point marked on the figure.

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Find the -coordinate of the point marked on the figure.

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Q2:

The following graph is of the function , with its maximum at , minimum at , and zero at marked.

Find an expression for the inverse function when is restricted to the interval .

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What is the domain of in this case?

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Q3:

The following graph is of the function , with its maximum at , minimum at , and zero at labeled.

Find an expression for the inverse function when is restricted to the interval .

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  • E

What is the domain of in this case?

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  • B
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  • E
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