Question

The volleyball reached its maximum height at 3 seconds.

The function f(x) = -2(t - 3) +23 represents the height, in feet, t seconds after a volleyball is served. Which of the following statements are true? Select all that apply.

A. The maximum height of the volleyball was 23 feet.

B. If the volleyball is not returned by the opposing team, it will hit the ground in 5.5 seconds.

C. The graph that models the volleyball’s height over time is exponential.

D. The volleyball was served from a height of 5 feet

Answer 1

A. The maximum height of the volleyball was 23 feet.

Explanation:

Given the equation for the height as

f(x) = -2(t - 3) +23

The time taken to attain maximum height = 3 seconds

Finding the maximum height; we substitute value of t with 3 sec in the function;

f(x) = -2(t - 3) +23

f(3) = -2(3-3) +23

maximum height= 23