Question

Suppose f(x) is a function such that if p < q, f(p) < f(q). Which statement best describes f(x)?
-f(x) can be odd or even.
-f(x) can be odd but cannot be even.
-f(x) can be even but cannot be odd.
-f(x) cannot be odd or even.

Answer 1

the statement translates more briefly as \(f\) is increasing

Answer 2

is increasing even? @satellite73

Answer 3

on no
even is symmetric wrt the y axis
\(f(x)=x^2\) is even, it certainly is not increasing

Answer 4

\(f(x)=x^3\) is both odd and increasing
maybe that helps