Question

In the function with the equation y =8/x
what is the rate of change from x = 1 to x = 2?

Answer 1

You have to simply differentiate the function and put the respective values.

Answer 2

The average rate of change of \(x\in (1, 2)\)? That is specified by:
\[
\frac{f(b)-f(a)}{b-a}
\]Which then becomes:
\[
\frac{\frac{8}{2}-\frac{8}{1}}{2-1}
\]