Function Not Function Tables

Front

What is a function?

Back

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

Front

What is a non-function?

Back

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

Front

How can you tell if a table represents a function?

Back

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

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

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

Front

If a table has x-values of {1, 2, 3, 4} and y-values of {5, 6, 7, 8}, is it a function?

Back

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

Front

If a table has x-values of {1, 2, 2, 3} and y-values of {4, 5, 6, 7}, is it a function?

Back

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

Front

What does it mean if the range of a function is {0, 6, 12, 18}?

Back

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

Front

What is an example of a function in real life?

Back

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

Front

What is the vertical line test?

Back

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.