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4th Edition

James Stewart

Publisher: Cengage Learning

ISBN: 9781337687805

Chapter 1.6, Problem 6E

To determine

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

Expert Solution

The given function is one-to one.

**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.

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.