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6th Edition

Stewart + 5 others

Publisher: Cengage Learning

ISBN: 9780840068071

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] .

**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].

**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].