Question

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?

Answer 1

Average rate of change of f(x) from x = 1 to x = 4 represents the average speed with which the water is falling between the first second and the fourth second.