Q:

What is the definition of a function?

A:

A function is any equation where for any input in the equation, the output yields exactly one value. Typically, the input is called x and the output is called y.

Functions are best understood by examples. First, consider the equation y = x?. Given an x, the square of x only yields one value for y. This is a function.

Next, consider the equation y? = x. Given an x, there can be two possibilities for y. If x is 4, y can be either positive or negative 2. This is not a function, since y can be more than one value with a given x.

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