Question

Determine whether the function f(x)=x^3+x^2 is even odd or neither

Answer 1

Answer: neither

Explanation:

x^3 can be either even or odd
Ex: x = 2 then 2^3 = 8 = even
Ex: x = 3 then 3^3 = 27 = odd

x^2 can also be either even or odd
Ex: x = 2 then 2^2 = 4 = even
Ex: x = 3 then 3^3 = 9 = odd

Since both can be even and odd

Even/Odd + Even/Odd = Even/Odd

So the result will be either even or odd