Question

HELP

Answer 1

Water coming out from a fountain is modeled by the function f(x) = −x2 + 8x + 2 where f(x) represents the height, in feet, of the water from the fountain at different times x, in seconds.

What does the average rate of change of f(x) from x = 1 to x = 4 represent?

A. The water travels an average distance of 3 feet from 1 second to 4 seconds.
B. The water travels an average distance of 2 feet from 1 second to 4 seconds.
C. The water rises up with an average speed of 3 feet per second from 1 second to 4 seconds.
D. The water rises up with an average speed of 2 feet per second from 1 second to 4 seconds.

Answer 2

hey

Answer 3

Hint 1:

When they ask for a rate of change of a function involving distance, they want to know the speed.

To find the speed of a function you need to take the derivative of the function.

Answer 4

What is f(1) and f(4)?

Answer 5

You can calculate the average by using the formula:
\[(f(b)-f(a))/(b-a)\]

Answer 6

Once you have the derivative. You can calculate the average speed between f'(1) and f'(4) divided by (4-1).