Question

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.