I see the image contains a math problem involving different functions $f(x)$, and you are asked to determine whether each function is odd, even, or neither. Additionally, you need to fill out the table of values for $x = -2, -1, 0, 1, 2$ for each function.

The functions given are:

1. $f(x) = x^4 - x^2$
2. $f(x) = \tan x$
3. $f(x) = 3 \sin x + 4$

To help with this, I'll walk you through the steps:

1. $f(x) = x^4 - x^2$: This is a polynomial function. To determine if it is odd, even, or neither, recall:

   • A function is even if $f(-x) = f(x)$.
   • A function is odd if $f(-x) = -f(x)$.
   • If neither of these conditions hold, the function is neither even nor odd.

   We'll substitute different values of $x$ to evaluate this.

2. $f(x) = \tan x$: The tangent function $\tan x$ is an odd function because $\tan(-x) = -\tan(x)$. Therefore, this function is odd.

3. $f(x) = 3 \sin x + 4$: The sine function $\sin x$ is odd ($\sin(-x) = -\sin(x)$), but since we have an additional constant term (+4), this might affect its symmetry. We can check whether the overall function is even, odd, or neither by testing $f(-x)$ and $f(x)$.

Would you like me to calculate the values for each of these functions and confirm their properties (odd, even, or neither)?

Let me know, and I can proceed with the detailed calculations!