BuyFind

Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805
BuyFind

Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

Solutions

Chapter 1.6, Problem 29E
To determine

To sketch: The graph of f1 from the given graph of f.

Expert Solution

Explanation of Solution

Identify the points from the given graph.

The points plotted in the graph are (−1, −2), (1, −1), (2, 2) and (3, 3).

Interchange the x and y values to find the points of the inverse graph.

Thus, the inverse function contains the points, (−2, −1), (−1, 1), (2, 2) and (3, 3).

Recall the fact that the inverse function is the reflection about the line y=x.

So, to sketch the graph of f1, draw the line y=x  and plot the points (−2, −1), (−1, 1), (2, 2) and (3, 3).

Thus, the graph of f1 is shown below in Figure 1.

Single Variable Calculus: Concepts and Contexts, Enhanced Edition, Chapter 1.6, Problem 29E

From Figure 1, it is observed that the graph of f1 is the reflection of the graph of f about the line y=x.

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