Question

For each function, decide whether it is an even function, an odd function, or neither.

Answer 1

An even function is symmetric about the y-axis, while an odd function is anti-symmetric about the origin.

Step-by-step explanation:

An even function is a function that satisfies the condition y(x) = y(-x). This means that if you replace x with -x in the function, you get the same value. Examples of even functions include x^2 and cos(x). On the other hand, an odd function is a function that satisfies the condition y(x) = -y(-x). This means that if you replace x with -x in the function, the sign of the function changes. Examples of odd functions include x^3 and sin(x). If a function does not satisfy either of these conditions, it is neither even nor odd.