# Thread: Average Rate Of Change

1. ## Average Rate Of Change

What is the average rate of change between x and x + h for the function $f(x)=(2x+4)/x$ . Show your simplification.

2. $f(x)=\dfrac{2x+4}{x}$

Find f(x + h):
$f(x)=\dfrac{2(x+h)+4}{x+h} = \ldots$

Plug f(x + h) and f(x) into
$\dfrac{f(x + h) - f(x)}{h}$
and simplify.

3. $\dfrac{f(x + h) - f(h)}{h}$ is incorrect. It should be

$\dfrac{f(x + h) - f(x)}{h}.$ That's the slope of the secant line, which also happens to be equal to the average rate of change.

[EDIT] Typo fixed.

4. Yes, of course. Fixed now.