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 8E
To determine

Whether the function given by a graph is one-to-one.

Expert Solution

Answer to Problem 8E

The function is not a one-to one function.

Explanation of Solution

Horizontal line test states that the graph of the function is one-to-one function if and only if a horizontal line intersects the graph exactly once.

Perform the horizontal line test for the given graph.

Draw a horizontal line such that it passes through the curve as shown in Figure 1.

Single Variable Calculus: Concepts and Contexts, Enhanced Edition, Chapter 1.6, Problem 8E

It is observed from Figure 1, the horizontal line intersects the curve at two distinct points, which means it fails the horizontal line test. Therefore, the function given by a graph is not a one-to-one function.

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