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

Gillian Washington

1 December, 15:54

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?

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Carmen · 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?