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4th Edition

James Stewart

Publisher: Cengage Learning

ISBN: 9781337687805

Chapter 1.1, Problem 2E

(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
*f* and the point
*g*.

Therefore,

(b)

To determine

The values of *x* if

Expert Solution

At

Observe that the curves *f* and *g* are intersecting at two points

Therefore, the value of

(c)

To determine

The value of *x* if

Expert Solution

At
*x* are −3 and 4.

From Figure 1, it is obvious that the points
*f* graph.

If
*x* are −3, 4.

That is, if
*x* are −3, 4.

Therefore, the values of *x* = −3, 4 when

(d)

To determine

The decreasing interval of *f*.

Expert Solution

The decreasing interval of *f* is

From Figure 1, it is noticeable that the curve *f* is decreasing from 3 to −1 between *x* = 0 and

Therefore, the decreasing interval of *f* is

(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

Thus, the domain of the function *f* is

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

Thus, the range of the function *f* is

(f)

To determine

The domain and range of *g*.

Expert Solution

The domain of *g* is
*g* is

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

Thus, the domain of the function *g* is

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

Thus, the range of the function *g* is