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

Explanation:

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

So, the average rate of change is:

`((18+h)-18)/((8+h)-8)=(h)/(h)=\boxed{1}`

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