Is a function with a fraction (1/4) an even or an odd function? Or can fractions be neither even or odd? I have to declare one or the other, so I'm not sure what to say.

To determine whether a function with a fraction, such as (1/4), is an even or odd function, we should first understand the definitions of even and odd functions.

An even function is defined as a function that satisfies the property f(x) = f(-x) for all x in the function's domain. In other words, if you replace x with its negative equivalent, the function will remain unchanged.

An odd function, on the other hand, is defined as a function that satisfies the property f(x) = -f(-x) for all x in the function's domain. In simple terms, if you replace x with its negative and also negate the function's value, the result will be the same.

Now, let's apply these definitions to the function f(x) = 1/4. To check whether it is even, we substitute -x into the function:

f(-x) = 1/4

Comparing this to f(x) = 1/4, we see that f(x) = f(-x), which means the function is an even function.

Hence, if you have to declare whether f(x) = 1/4 is even or odd, you would identify it as an even function. Fractions, just like any other real numbers, can be classified as even or odd based on these definitions.