Concept explainers
a.
To find: where f is increasing.
a.
Answer to Problem 19E
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 find: where f is decreasing.
b.
Answer to Problem 19E
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].
Chapter 2 Solutions
Precalculus: Mathematics for Calculus - 6th Edition