Question

HELP WITH EXPLANATION!!
Show that the function f(x) = x³ + 5/x. is even, odd, or neither.

Answer 1

The function is odd.

Explanation:

A function is always odd when f(−x) = −f(x). In this case, that rule applies.

`-f(x)=-(x^3+5/x)\\-f(x)=-x^3-5/x\\-x^3-5/x=-x^3-5/x = odd`