What do you mean by this?
Find $\displaystyle \frac{f(x+h)-f(x)}{h}$ for:
$\displaystyle f(x)=3x^2-4x+1$
Can you explain me what is this problem? thanks!
That is correct
You cannot graph the difference quotient unless you give a value to h (otherwise you have 2 variables : x and h)
Usually when you have to compute $\displaystyle \frac{f(x+h)-f(x)}{h}$ you make h go to 0 (as an introduction to the derivatives), which gives 6x-4
Here is the instruction for graphing it:
Graph f(x) and its difference quotient by hand in the same window. Provide all relevant work regarding the vertex, axis symmetry, etc.
True or false? The root of difference quotient when h=0 is the x-coordinate of the minimum of f(x).
I guess it says i have to graph it with h=0.