# To find the value of f ( − 2 ) and f ( 2 ) .

### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

#### Solutions

Chapter 2, Problem 12RE

a.

To determine

## To find the value of f(−2) and f(2) .

Expert Solution

The answer is f(2)=1 and f(2)=2 .

### Explanation of Solution

Given:

The graph of function f is given.

Concept Used:

The concept of graphing of functions is used.

In the graph, when x = -2 , y = -1. So f(2)=1 . Similarly, when x=2, y =2. Hence, f(2)=2 .

b.

To determine

### To find the domain of f .

Expert Solution

The domain of f= [-4, 5].

### Explanation of Solution

Given:

The graph of function f is given.

Concept Used:

The concept of domain of functions is used.

In the graph, x can take values between -4 and 5, both included. Hence the domain of f = [-4, 5].

c.

To determine

### To find the range of f .

Expert Solution

The range of f= [-4, 4].

### Explanation of Solution

Given:

The graph of function f is given.

Concept Used:

The concept of range of functions is used.

In the graph, y can take values between -4 and 4, both included. Hence the range of f = [-4, 4].

d.

To determine

### To tell the intervals where f is increasing and decreasing.

Expert Solution

The intervals where f is increasing are: (-4, -2) and (0, 4).

The intervals where f is decreasing are: (-2, 0) and (4, 5).

### Explanation of Solution

Given:

The graph of function f is given.

Concept Used:

The concept of increasing and decreasing functions is used.

The intervals where f is increasing are: (-4, -2) and (0, 4).

The intervals where f is decreasing are: (-2, 0) and (4, 5).

e.

To determine

### To find the local maximum value of f .

Expert Solution

The local maximum value of f = 4 at x=4.

### Explanation of Solution

Given:

The graph of function f is given.

Concept Used:

The concept of local maximum value of functions is used.

The local maximum value of f =4 at x=4.

e.

To determine

### To check if f is one to one.

Expert Solution

No, f is not one to one.

### Explanation of Solution

Given:

The graph of function f is given.

Concept Used:

The concept of one to one functions is used.

In the graph of f, f(-2)=f(0). Hence the function f is not one to one.

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