Question

Let f(x)=−x√3 . What is the average rate of change of f(x) from 8 to 64?

−1/28
1/28
−28
28

Answer 1

-1/28

Explanation:

Answer 2

`-(1)/(28)`

Explanation:

The given function is

`f(x)=-\sqrt[3]{x}`

`f(64)=-\sqrt[3]{64}=-4`

`f(8)=-\sqrt[3]{8}=-2`

The average rate of change of this function is the slope of the secant line connecting the points (64,f(64)) and (8,f(8));

`=(f(64)-f(8))/(64-8)`

We substitute the functional values into this function to obtain;

`=(-4--2)/(56)`

This simplifies to;

`=(-2)/(56)`

`=-(1)/(28)`