Question

Find average rate of change(image provided)

Answer 1

average rate of change = - 8

Explanation:

the average rate of change of f(x) in the closed interval [ a, b ] is

`(f(b)-f(a))/(b-a)`

here [ a, b ] = [ - 2, 4 ] , then

f(b) = f(4) = - 2(4)² - 4(4) + 7 = - 2(16) - 16 + 7 = - 32 - 9 = - 41

f(a) = f(-2) = - 2(-2)² - 4(-2) + 7 = - 2(4) + 8 + 7 = - 8 + 15 = 7

then

average rate of change =
`(-41-7)/(4-(-2))` =
`(-48)/(4+2)` =
`(-48)/(6)` = - 8