consider the following function and simplify the expression. f(x+h)-f(x) divided by h.
f(x)=2x+4 Please help me. I need this for more my Calculus class.

Question

consider the following function and simplify the expression. f(x+h)-f(x) divided by h.
f(x)=2x+4          Please help me. I need this for more my Calculus class.

anonymous · Answer

it is just the slope
what is the slope of $y=2x+4$ ?

anonymous · Answer

It's 2 right? But what about the function?

anonymous · Answer

it is a linear function
the change in y over the change in x is a constant, namely the slope

anonymous · Answer

go ahead and compute it
$$f(x+h)=2(x+h)+4=2x+2h+4$$
$$f(x+h)-f(x)=2x+2h+4-(2x+4)=2h$$ divide by $h$ and get the slope

anonymous · Answer

That was right. I enter my homework online, so I know right away whether it is right or wrong. I still don't understand how you got the answer. thanks a lot though

anonymous · Answer

i didn't skip any steps
see if you can understand what i wrote