If f(x) = (x + 2) / (x-2) for all integers except x=2, which of the following has the greatest value?
A. f(-1)
B. f(0)
C. f(1)
D. f(3)
E. f(4)
The easiest way to solve this is to substitute the answer options in the expression and see which has the greatest value.
(-1 + 2) / (-1-2) = -2 / 2 = -1;
(0 + 2) / (0-2) = 2/ -2 = -1;
(1 + 2) / (1-2) = 3/-1 = -3;
(3 + 2) / (3-2) = 5/1 = 5;
(4+ 2) / (4-2) = 6/2 = 3