Question

Find the average rate of change of f(x) = -x² + 5x+2 from x=3 to x=6.

Simplify your answer as much as possible.

HELP ASAP PLEASE

Answer 1

9514 1404 393

Answer:

-4

Explanation:

The points at the ends of the interval are ...

(3, f(3)) = (3, 8)

(6, f(6)) = (6, -4)

The slope is given by the slope formula:

m = (y2 -y1)/(x2 -x1)

m = (-4 -8)/(6 -3) = -12/3 = -4

The average rate of change is -4.