Question Type 1: Verifying whether some simple functions are odd or even or neither Bootcamps

Determine whether the function $f(x) = x^4 - x^2$ is odd, even, or neither. Justify your answer.

Determine whether the function $f(x) = x^3 + x$ is odd, even, or neither. Justify your answer.

Determine whether the function $f(x) = x^3$ is odd, even, or neither. Justify your answer.

Determine whether the function $f(x) = x^5 + x^2$ is odd, even, or neither. Justify your answer.

Determine whether the function $f(x) = e^x + e^{-x}$ is odd, even, or neither. Justify your answer.

Determine whether the function $f(x) = \\sin(x) + \\cos(x)$ is odd, even, or neither. Justify your answer.

Determine whether the function $f(x) = \tan(x)$ is odd, even, or neither. Justify your answer.

Determine whether the function $f(x) = x^2 \\sin(x)$ is odd, even, or neither. Justify your answer.

Determine whether the function $f(x) = \cos(x)\sin(x)$ is odd, even, or neither. Justify your answer.

Determine whether the function $f(x) = \displaystyle\frac{x}{1 + x^2}$ is odd, even, or neither. Justify your answer.

Determine whether the function $f(x) = \displaystyle\frac{x^2 - 1}{x}$ is odd, even, or neither. Justify your answer.

Determine whether the function $f(x) = x^2 - x^4 - \cos(x)\sin(x)$ is odd, even, or neither. Justify your answer.