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

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

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

Answer

Explanation:

Step1: Identify increasing interval

A function is increasing when the y - values increase as the x - values increase. Looking at the graph, the function is increasing from $x=-1$ to $x = 4$. In interval notation, this is $(-1,4)$.

Step2: Identify decreasing interval

A function is decreasing when the y - values decrease as the x - values increase. The function is decreasing from $x=-3$ to $x=-1$. In interval notation, this is $(-3,-1)$.

Step3: Identify constant interval

A function is constant when the y - values do not change as the x - values change. The function is constant from $x = 4$ to $x=7$. In interval notation, this is $(4,7)$.

Answer:

(a) A. The function is increasing over the open interval(s) $(-1,4)$ (b) A. The function is decreasing over the open interval(s) $(-3,-1)$ (c) A. The function is constant over the open interval(s) $(4,7)$