Short Answer

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

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

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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Short Answer

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?

Step by Step Solution

Step 1: Given information

Step 2: Checking the reason

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Precalculus Enhanced with Graphing Utilities

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Short Answer

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?

Step by Step Solution

Step 1: Given information

Step 2: Checking the reason

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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?