Concept explainers
a.
where f is increasing.
a.
Answer to Problem 21E
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.
where f is decreasing.
b.
Answer to Problem 21E
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].
Chapter 2 Solutions
Precalculus: Mathematics for Calculus - 6th Edition