Question

Given f ( x ) = 1 x + 10 , find the average rate of change of f ( x ) on the interval [ 8 , 8 + h ] . Your answer will be an expression involving h .

Answer 1

Answer: 1

Step-by-step explanation:

$f(8+h)=8+h+10=18+h\\\\f(8)=8+10=18$

So, the average rate of change is:

$\frac{(18+h)-18}{(8+h)-8}=\frac{h}{h}=\boxed{1}$

The question is wrong, the expression will not be in terms of h since it is a linear function.