Concept explainers
a.
To find: where f is increasing.
a.
Answer to Problem 22E
f is increasing on the interval [-1,2] .
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 [-1,2]
Hence, f is increasing on the interval [-1,2] .
b.
To find: where f is decreasing.
b.
Answer to Problem 22E
f is decreasing on the intervals [1,2] and [1,-2].
Explanation of Solution
Given information: the graph provided in the question,
From the provided information, consider,
As f decreases, the height if the function f ( x ) also decreases, thus, y-values of the points on the graph decreases as the x-values increase. In the graph provided, f is decreasing on the intervals [1,2] and [1,-2].
Hence, f is decreasing on the intervals [1,2] and [1,-2].
Chapter 2 Solutions
Precalculus: Mathematics for Calculus - 6th Edition