if f(x)= 3x-6/x-2, what is the average rate of change of f(x) over the interval [6,8]?

Question

ask_if_im_a_ghost · Answer

Avg rate of change = (f(8)-f(6))/(8-6)

mathmale · Answer

3x-6
I suspect you mean f(x)=----------
                                           x-2

Is this correct?  If so, please use parentheses around each the numerator and the denominator, so that there is no ambiguity regarding your intent.

myersra · Answer

options are 
0
1
3
or 3.5

ask_if_im_a_ghost · Answer

It is essentially the slope between the two ponts.

ask_if_im_a_ghost · Answer

No
f(8)=(3*8-6)/(8-2)=3
f(6)=(3*6-6)/(6-2)=3
f(8)-f(6)=0
8-6=2
So the slope is 0/2=0

You could also realise that the function f(x) simplifies to 3, f(x)=3 has a slope of 0

myersra · Answer

thank you so much