Question

use the graph to determine
a. open intervals on which the function is increasing, if any.
b. open intervals on which the function is decreasing, if any.
c. open intervals on which the function is constant, if any.
a. the function is increasing on the interval(s) $(-1,\infty)$
(type your answer in interval notation. use a comma to separate answers as needed.)
b. there is no interval on which the function is increasing.
b. select the correct choice below and, if necessary, fill in the answer box to complete your choice.
a. the function is decreasing on the interval(s)
(type your answer in interval notation. use a comma to separate answers as needed.)
b. there is no interval on which the function is decreasing.

Explanation:

Step1: Analyze the graph for decreasing intervals

A function is decreasing when, as \(x\) increases, \(y\) decreases. Looking at the graph, from \(x = -\infty\) to \(x=- 1\), as \(x\) values increase (move from left to right on the \(x\) - axis), the \(y\) values of the function decrease.

Answer:

A. The function is decreasing on the interval(s) \((-\infty,-1)\)