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Q. 85

Expert-verified
Found in: Page 270

### Precalculus Enhanced with Graphing Utilities

Book edition 6th
Author(s) Sullivan
Pages 1200 pages
ISBN 9780321795465

# A function $f$ has an inverse function. If the graph of $f$ lies in quadrant I in which quadrant does the graph of ${f}^{-1}$ lie?

The graph of ${f}^{-1}$ lies in the first quadrant

See the step by step solution

## Step 1: Given information

Given the function $f$ has an inverse function

## Step 2: Checking the reason

The graphs of a function $f$ and its inverse are mirror images (or reflections) of each other about the line $y=x$

Hence, if the graph of a function $f$ is in Quadrant I, then the graph of its inverse is its reflection about the line $y=x$. Note that when a graph in Quadrant I is reflected about the line $y=x$, the reflection is also in Quadrant I.

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