Question

Suppose f(x) is a function such that if p 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

f(x) can be odd or even.

Explanation:

The following information is missing in the question:

Suppose f(x) is a function such that if p < q, f(p) < f(q). Which statement best describes f(x)?

With the information given it is not possible to determine if the function is even or odd.

Even functions: f(-x) = f(x). For examle, (-2)² = 2², then x² is even

Odd functions: f(-x) = -f(x). For examle, (-2)³ = -(2³), then x³ is odd

In both cases, x² and x³, if p < q, f(p) < f(q). For example, 1² < 2², and 1³ < 2³