finding where a function is increasing, decreasing, or constant given the...

Explanation:

Step1: Analyze the function between A and B

As (x) increases from (A) to (B), (y) also increases. So the function is increasing between (A) and (B).

Step2: Analyze the function between B and C

As (x) increases from (B) to (C), (y) remains the same. So the function is constant between (B) and (C).

Step3: Analyze the function between C and D

As (x) increases from (C) to (D), (y) decreases. So the function is decreasing between (C) and (D).

Step4: Analyze the function between D and E

As (x) increases from (D) to (E), (y) remains the same. So the function is constant between (D) and (E).

Answer:

A and B: increasing; B and C: constant; C and D: decreasing; D and E: constant.