Function Not Function Tables

A function is a relation where each input (x-value) has exactly one output (y-value).

A non-function is a relation where at least one input (x-value) has multiple outputs (y-values).

Check if any x-value is repeated with different y-values. If it is, the table does not represent a function.

The domain is the set of all possible input values (x-values) for the function.

The range is the set of all possible output values (y-values) for the function.

Yes, it is a function because each x-value has a unique y-value.

No, it is not a function because the x-value 2 is repeated with different y-values.

It means these are the output values that the function can produce.

A vending machine is a function; each button (input) gives one specific snack (output).

A method to determine if a graph represents a function; if a vertical line crosses the graph more than once, it is not a function.