The linear model represents the height, f(x), of a water balloon thrown off the roof of a building over time, x, measured in seconds:

a linear model with ordered pairs at 0, 26 and 2, 34 and 4, 34 and 8, 30 and 10, 0 and 12, 0. the x axis is labeled time in seconds, and the y axis is labeled height in feet.

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)