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4th Edition

James Stewart

Publisher: Cengage Learning

ISBN: 9781337687805

Chapter 1, Problem 2RE

(a)

To determine

**To state:** The value of

Expert Solution

**Solution:**

The value of

Let

From the given graph, it is noticed that when

That is,

(b)

To determine

**To explain:** Why the function *g* is one-to-one.

Expert Solution

The function is one-to-one if it satisfies the horizontal line test.

Horizontal line test states that, if the horizontal line intersects the curve atmost once then the function *g* is one-to-one.

From the given graph, it is noticed that no horizontal line intersects the graph more than once. So, it satisfies the horizontal line test.

Hence, the function *f* is one-to-one.

(c)

To determine

**To estimate:** The values of

Expert Solution

**Solution:**

The values of

Let

From the given graph, it is noticed that the value of

Then, it can be implied that

When

(d)

To determine

**To estimate:** The domain of

Expert Solution

**Solution:**

The domain of

It is known that the domain of

From the given graph, it is observed that the range of *g* is

Therefore, the domain of

(e)

To determine

**To sketch:** The graph of

Expert Solution

**Graph:**

The graph of

From Figure1, it is observed that *g* is the reflection of