Question

calculate the average rate of change of f (x )equals cube root of x plus 5 end root on the interval [-4, 3].

Answer 1

average rate of change =
`(1)/(7)`

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 ] = [ - 4, 3 ] , then

f(b) = f(3) =
`\sqrt[3]{3+5}` =
`\sqrt[3]{8}` = 2

f(a) = f(- 4) =
`\sqrt[3]{-4+5}` =
`\sqrt[3]{1}` = 1

average rate of change =
`(2-1)/(3-(-4))` =
`(1)/(3+4)` =
`(1)/(7)`