# 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 19E

a.

To determine

## To find: where f is increasing.

Expert Solution

f is increasing on the interval [-1, 2] and [2,3] .

### Explanation of Solution

Given information: the graph provided in the question, Graph:

From the provided information, consider, Interpretation:

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 intervals [2,3] and [-1,2].

Hence, f is increasing on the interval [-1, 2] and [2,3] .

b.

To determine

### To find: where f is decreasing.

Expert Solution

f is increasing on the interval [2, -1].

### Explanation of Solution

Given information: the graph provided in the question, Graph: Interpretation:

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 decrease. In the graph provided, f is increasing on the interval [3,-1].

Hence, f is decreasing on the interval [3, -1].

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