Question

Find the average rate of change ​

Answer 1

3rd option

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 ] = [ 1, 4 ] , then

f(b) = f(4) = 3³ + 2 = 27 + 2 = 29

f(a) = f(1) =
`3^(0)` + 2 = 1 + 2 = 3 , then

average rate of change =
`(29-3)/(4-1)` =
`(26)/(3)`