Final answer:
To classify a function as even, odd, or neither, you need to plug in -x into the function and check if the result is equal to the original function or the negation of the original function.
Step-by-step explanation:
An even function is a function that satisfies the condition f(x) = f(-x) for all values of x. An odd function is a function that satisfies the condition f(x) = -f(-x) for all values of x. A function is considered neither even nor odd if it does not satisfy either of these conditions.
To classify a given function as even, odd, or neither, we need to determine if the function satisfies the conditions for even or odd functions. We can do this by plugging in -x into the function and checking if the result is equal to the original function or the negation of the original function.
For example, let's consider the function f(x) = x^2. Plugging in -x, we get f(-x) = (-x)^2 = x^2, which is equal to the original function. Therefore, f(x) = x^2 is an even function.