Question

What is the average rate of change of the function f(x)=2x+4 over the interval -4 ≤ x ≤ 1? Table

Answer 1

2

Explanation:

the rate of change is measured as

`(f(b) - f(a))/(b-a)` in the closed interval [ a, b ]

here [a, b ] = [- 4, 1 ]

f(b) = f(1) = 2 + 4 = 6

f(a) = f(- 4) = - 8 + 4 = - 4

average rate of change =
`(6-(-4))/(1-(-4))` =
`(10)/(5)` = 2