Answered

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

Sagot :

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.

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