A function is a special kind of relation. In a function, there can only be one x-value for each y-value. There can be duplicate y-values but not duplicate x-values in a function.

Can a function have the same Y-values?

A function is a set of ordered pairs in which each x-element has only ONE y-element associated with it. While a function may NOT have two y-values assigned to the same x-value, it may have two x-values assigned to the same y-value. Function: each x-value has only ONE y-value!

What does the y value represent in a function?

The notation y=f(x) defines a function named f. This is read as “y is a function of x.” The letter x represents the input value, or independent variable. The letter y, or f(x), represents the output value, or dependent variable.