Answer :
Answer:
The average rate of change of the function is 22.
Step-by-step explanation:
The given function is :
[tex]f(x)=x^4-5x[/tex]
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 :
[tex]R=\dfrac{f(b)-f(a)}{b-a}[/tex]
Here, a = 0 and b = 3
[tex]R=\dfrac{(3^4-5(3))-(0^4-5(0))}{3-0}\\\\=\dfrac{66}{3}\\\\=22[/tex]
So, the average rate of change of the function is 22.