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) 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.

(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. the function is never decreasing.

Explanation:

Step1: Analyze increasing interval

Observe graph: as $x$ rises, $y$ rises on $(-4,4)$.

Step2: Analyze decreasing interval

Observe graph: $y$ never falls as $x$ rises.

Step3: Analyze constant interval

Observe graph: $y$ stays flat on $(-\infty,-4)$.

Answer:

(a) A. The function is increasing on the interval(s) $(-4,4)$
(b) B. The function is never decreasing.
(c) The function is constant on the interval $(-\infty,-4)$