1995 AHSME Problems/Problem 12
Problem
Let be a linear function with the properties that
and
. Which of the following is true?
Solution
A linear function has the property that either for all a<b, or for all b<a. Since
,
. Since f(1)\leq f(2)
f(1)=f(2)
f(a)=f(b)$for a≠b, then f(x) is a constant function. Since$ (Error compiling LaTeX. Unknown error_msg)f(5)=5
f(0)=5\Rightarrow \mathrm{(D)}$