Question

The average rate of change of the function f(x)=8x^(3)+8 over the interval -6,6 is mplify your answer.

Answer 1

f(x) = 8x³ + 8

f(-6) = 8(-6)³ + 8 = 8(-216) + 8 = -1,728 + 8

= -1,720

f(6) = 8(6³) + 8 = 8(216) + 8 = 1,728 + 8

= 1,736

average rate of change

= (1,736 - (-1,720))/(6 - (-6))

= 3,456/12

= 288