Question

If f(x)=x^3−x, what is the average rate of change of f(x) over the interval [1, 5]?
a)29.5
b)30
c)43
d)120

Answer 1

Generally, average rate of change of f(x) in interval [a, b] is \[\large \dfrac{f(b)-f(a)}{b-a}\]

Answer 2

So here you just have \(\dfrac{f(5)-f(1)}{5-1}=~\cdots~?\)

Answer 3

what, i dont know how to solve that im sorry

Answer 4

@geerky42 did a good work

Answer 5

you just plug in the 5 value into the equation you have subtract it by the equation with 1 plugged in and then put it over 5-1 which is 4.

Answer 6

nothing left just put the numbers

Answer 7

you're solving wrong. what did you get for 5^3-5 ?

Answer 8

it should be ->( (5^3-5)-(1^3-1))/4