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4th Edition

James Stewart

Publisher: Cengage Learning

ISBN: 9781337687805

Chapter 1.6, Problem 14E

To determine

Whether the function which reflects a person’s height at age *t* is one-to-one.

Expert Solution

The function is not a one-to one function.

**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:**

The given function is,

It is known that the height of a person will remain constant after a certain age. That is the growth will be stopped and maintains a constant height for many years.

The graph of the function

From Figure 1, it is observed that the horizontal line intersects the curve at many points, which means it fails the horizontal line test.

Thus, it can be concluded that the function