Question

use the graph to determine
a. open intervals on which the function is decreasing, if any.
b. open intervals on which the function is increasing, if any.
c. open intervals on which the function is constant, if any.
a. 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. the function is never decreasing.
b. select the correct choice below and, if necessary, fill in the answer box to complete your choice.
a. the function is increasing on the interval(s)
(type your answer in interval notation. use a comma to separate answers as needed.)
b. the function is never increasing.
c. select the correct choice below and, if necessary, fill in the answer box to complete your choice.
a. the function is constant on the interval(s)
(type your answer in interval notation. use a comma to separate answers as needed.)
b. the function is never constant.

Explanation:

Step1: Analyze decreasing interval

The line has a positive slope, so it never decreases.

Step2: Analyze increasing interval

The line rises from left to right, spanning all x-values from $-5$ to $5$.

Step3: Analyze constant interval

The line's y-value changes with x, so it is never constant.

Answer:

a. B. The function is never decreasing.
b. A. The function is increasing on the interval(s) $(-5, 5)$
c. B. The function is never constant.