determine intervals on which the function is increasing, decreasing, and constant. on what intervals is the…

determine intervals on which the function is increasing, decreasing, and constant. on what intervals is the function increasing? a. (0,8) b. (-9, -4) and (0,8) c. (-4, -1) d. (-4, -1) and (6,8) on what interval is the function decreasing?

determine intervals on which the function is increasing, decreasing, and constant. on what intervals is the function increasing? a. (0,8) b. (-9, -4) and (0,8) c. (-4, -1) d. (-4, -1) and (6,8) on what interval is the function decreasing?

Answer

Explanation:

Step1: Recall increasing - function concept

A function is increasing when the y - values increase as the x - values increase.

Step2: Analyze the graph

By observing the given graph, we can see that the function is increasing on the intervals where the graph is going up from left to right. We can see that the function is increasing on the intervals $(-4,-1)$ and $(6,8)$.

Step3: Recall decreasing - function concept

A function is decreasing when the y - values decrease as the x - values increase.

Step4: Analyze the graph for decreasing part

By observing the graph, the function is decreasing on the interval $(-1,6)$.

Answer:

On what intervals is the function increasing? D. $(-4,-1)$ and $(6,8)$ On what interval is the function decreasing? $(-1,6)$