Question

1. Estimate the average rate of change of y over the interval -10≤x≤-8. Show your work
below.

Answer 1

average rate of change = 4

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 ] = [ - 10, - 8 ] , then

f(b) = f(- 8) = 8 ← point on graph (- 8, 8 )

f(a) = f(- 10) = 0 ← point on the graph (- 10, 0 )

average rate of change =
`(8-0)/(-8-(-10))` =
`(8)/(-8+10)` =
`(8)/(2)` = 4