state the open intervals over which the function is (a) increasing, (b) decreasing, and (c) constant. your…

state the open intervals over which the function is (a) increasing, (b) decreasing, and (c) constant. your choice. a. the function is increasing over the open interval(s) (-2,3). (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 over the open interval(s) . (type your answer in interval notation. use a comma to separate answers as needed.) b. the function is never decreasing.

state the open intervals over which the function is (a) increasing, (b) decreasing, and (c) constant. your choice. a. the function is increasing over the open interval(s) (-2,3). (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 over the open interval(s) . (type your answer in interval notation. use a comma to separate answers as needed.) b. the function is never decreasing.

Answer

Explanation:

Step1: Analyze increasing intervals

On a graph, a function is increasing when the y - values increase as the x - values increase. Looking at the given graph, the function is increasing from $x=-2$ to $x = 3$. So the increasing interval is $(-2,3)$.

Step2: Analyze decreasing intervals

A function is decreasing when the y - values decrease as the x - values increase. From the graph, the function is decreasing from $x=-5$ to $x=-2$. So the decreasing interval is $(-5,-2)$.

Step3: Analyze constant intervals

A function is constant when the y - values remain the same as the x - values change. The function is constant from $x = 3$ to $x=6$, so the constant interval is $(3,6)$.

Answer:

(a) A. The function is increasing over the open interval(s) $(-2,3)$. (b) A. The function is decreasing over the open interval(s) $(-5,-2)$. (c) The function is constant over the open interval(s) $(3,6)$.