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 .

Question

asked Jun 22, 2023 130k views

1 Answer

Baro · Answer 1 · 2023-06-27T08:00:33+0000

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.