consider f(x) = x^3 + x^1 would the function be even, odd, neither, or not enough information to determine

The function is odd

Step-by-step explanation:

Even functions and odd functions are those which satisfy particular symmetry relations as follows:

f(x) is even if f(-x) = f(x)

f(x) is odd if f(-x) = -f(x)

Not all functions are eligible for being even or odd.

Considering

Let's find f(-x)

Since

And

Factoring by -1:

The expression in parentheses if f(x), thus:

And the function is odd.