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 6E
To determine

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

Expert Solution

Answer to Problem 6E

The given function is one-to one.

Explanation of Solution

Result used:

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.

Calculation:

Perform the horizontal line test for the given graph.

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

Single Variable Calculus: Concepts and Contexts, Enhanced Edition, Chapter 1.6, Problem 6E

From Figure 1, it is observed that the horizontal line intersects the curve exactly at once, which means it passes the horizontal line test.

Therefore, the function given by the graph is a one-to one function.

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