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4th Edition

James Stewart

Publisher: Cengage Learning

ISBN: 9781337687805

Chapter 1.1, Problem 1E

(a)

To determine

The value of

Expert Solution

The value of

**Given:**

Plot the points in the given graph as shown below in Figure 1.

**Calculation:**

In Figure.1, *x*-axis represents the values of *x,* and *y*-axis represents the values of

From Figure 1, it is noticeable that the point (1, 3) is plotted.

Therefore, the value of

(b)

To determine

The value of

Expert Solution

The value of

From Figure 1, it is seen that when *x* = −1 the *f*(*x*) is approximately equal to −0.2.

Therefore, the value of

(c)

To determine

The value of *x* if

Expert Solution

If *x* are 0 and 3.

From Figure 1, it is it is noticeable that the points (0, 1) and (3, 1) are plotted.

Therefore, when

(d)

To determine

The value of *x* if

Expert Solution

If *x* is approximately −0.8.

It is seen from the Figure 1 that when *f*(*x*) = 0, the value of *x* is approximately −0.8.

Therefore, when

(e)

To determine

The domain and range of *f*.

Expert Solution

The domain of *f* is *f* is

Since, the domain of a function is the set of all *x* values of the graph, the domain is

Since, the range of a function is the set of all *y* values of the graph, the range of the function is *y* ≤ 3.

(f)

To determine

The increasing interval of *f*.

Expert Solution

The increasing interval of *f* is

From Figure 1, it is noticeable that the curve is increasing between

Therefore, the increasing interval of *f* is