Given:
[tex]f(x)=x^2+x[/tex]To determine the function is even, odd, or neither,
[tex]\begin{gathered} f(-x)=f(x)\ldots\text{.. even function} \\ f(-x)=-f(x)\ldots\text{.. Odd function} \end{gathered}[/tex]Replace x with -x,
[tex]f(-x)=(-x)^2+(-x)=x^2-x[/tex]It shows that the given function is neither even nor odd.
