# where f is increasing.

### 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 2.3, Problem 21E

a.

To determine

## where f is increasing.

Expert Solution

f is increasing on the interval [0,2,] and [-2,0] .

### Explanation of Solution

Given information: the graph provided in the question,

From the provided information, consider,

As f increases the height if the function f ( x ) also increases, thus, y-values of the points on the graph increase as the x-values increase. In the graph provided, f is increasing on the interval [0,2] and [-2,0]

Hence, f is increasing on the interval [0,2] and [-2,0] .

b.

To determine

### where f is decreasing.

Expert Solution

f is decreasing on the intervals [1,-2] and [3,0].

### Explanation of Solution

Given information: the graph provided in the question,

From the provided information, consider,

As f decreases, the height of the function f ( x ) also decreases, thus, y-values of the points on the graph decrease as the x-values increase. In the graph provided, f is decreasing on the intervals [1,0] [2,-2] and [0,-1].

Hence, f is decreasing on the intervals [1,0] [2,-2] and [0,-1].

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