Question

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

Answer 1

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

Answer 2

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.

Answer 3

options are
0
1
3
or 3.5

Answer 4

It is essentially the slope between the two ponts.

Answer 5

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

Answer 6

thank you so much