Question

What is the average rate of change of the function f given by f(x) = x4 - 5x on the closed interval (0, 3)?

Answer 1

22

Explanation:

(f(3)-f(0))/3

=66/3

=22

Answer 2

The average rate of change of the function is 22.

Explanation:

The given function is :

`f(x)=x^4-5x`

We need to find the average rate of change of the function on the closed interval (0, 3).

The average rate of change of a function in interval (a,b) is given by :

`R=(f(b)-f(a))/(b-a)`

Here, a = 0 and b = 3

`R=((3^4-5(3))-(0^4-5(0)))/(3-0)\\\\=(66)/(3)\\\\=22`

So, the average rate of change of the function is 22.