Question

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

A. 0
B. 1
C. 3
D. 3
E. 0.5

Answer 1

It would be 0.5 i think

Answer 2

the average rate of change just means the slope
that is, the slope from (6,f(6)) to (8,f(8))

f(6)=(3(6)-6)/(6-2)=(18-6)/4=12/4=3
f(8)=(3(8)-6)/(8-2)=(24-6)/6=18/6=3

the rate of change from (6,3) to (8,3) is 0/2 or 0

answer is A