simplifying f(x+h)−f(x)/h where 2x+3

Question

anonymous · Answer

If it helps you at all, the answer turns out to be 2

anonymous · Answer

since it is the same as asking for the slope of the line. you are asked for the change in $y$ over the change in $x$ which is the same as asking for the slope
the slope of your line is 2

anonymous · Answer

i'm not asking for the slope

anonymous · Answer

yes, just in disguise

anonymous · Answer

f(x)= 2x+3

anonymous · Answer

right and $f(x+h)-f(x)$ is the change in $y$

anonymous · Answer

no... it says to simplify. straight forward simplifying where you find f(x) and they give you that f(x) = 2x+3

anonymous · Answer

no no... it is not a slope problem.

anonymous · Answer

$$f(x+h)-f(x)=2(x+h)+3-(2x+3)=2x+2h+3-2x-3=2h$$

anonymous · Answer

divide by $h$ and you get $2$

anonymous · Answer

I like how he's arguing with you that you're not finding the right answer, he hasn't learned that's what it really means yet! :P

anonymous · Answer

just like computing $\frac{y_2-y_1}{x_2-x_1}$ with $y_2=f(x+h), y_1=f(x), (x_2-x_1)=h$

anonymous · Answer

no i have the paper with me... and i'm a she. it doesn't say slope anywhere? it says to simplify.