Part A: During what interval(s) of the domain is the water balloon's height increasing? (2 points) Part B: During what interval(s) of the domain is the water balloon's height staying the same? (2 points) Part C: During what interval(s) of the domain is the water balloon's height decreasing the fastest? Use complete sentences to support your answer. (3 points) Part D: Use the constraints of the real-world situation to predict the height of the water balloon at 14 seconds. Use complete sentences to support your answer. (3 points)

A). interval 0 ≤ x ≤ 2

B). interval 2 ≤ x ≤ 4

C). interval 8 ≤ x ≤ 10

D). h(14) = 0

Step-by-step explanation:

Part A.

In the interval 0 ≤ x ≤ 2, height of the water balloon is increasing.

Part B.

In the interval 2 ≤ x ≤ 4, height of the water balloon is constant.

Part C.

In the interval 8 ≤ x ≤ 10, height of the water balloon is decreasing the fastest.

Slope of the line between x = 8 and x = 10 is the maximum.

Part D.

Since at x = 10 height of the water balloon is h = 0, therefore, at any moment after x = 10 seconds height of the balloon will remain zero.