Question

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

A. 0
B. 1
C. 3
D. 3.5

Answer 1

A. 0

Explanation:

PLATO answer!

Answer 2

The interval is [6,8]. Plug the ends of the interval into the equation:


`x = 6`

`(3(6) - 6)/(6 - 2) = (12)/(4) = 3`


`x=8`

`(3(8) - 6)/(8-2) = (18)/(6) = 3`

Both x-values have the same output of 3, so the average rate of change over the interval will be 0.

The answer is A. 0.