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?

Question

Mathematics

Zachariah Gibbs

9 June, 01:15

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?

+1

Answers (1)

Know the Answer?

Elise Manning · 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.

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?

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?