Function or Not

Front

What is a function?

Back

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

Front

Is the relation {(1, 2), (1, 3), (2, 4)} a function?

Back

No, because the x-value 1 has two different y-values (2 and 3).

Front

Is the relation {(3, 5), (4, 6), (5, 7)} a function?

Back

Yes, because each x-value has only one y-value.

Front

What does it mean for a relation to not be a function?

Back

It means that at least one input (x-value) is associated with more than one output (y-value).

Front

If a table has the x-values 1, 2, 3, 1, what can we say about it?

Back

It is not a function because the x-value 1 is repeated with different y-values.

Front

What is the vertical line test?

Back

A method to determine if a graph represents a function; if a vertical line intersects the graph at more than one point, it is not a function.

Front

Can a function have the same output for different inputs?

Back

Yes, a function can have the same output for different inputs, as long as each input has only one output.

Front

What is an example of a function?

Back

The relation {(2, 3), (3, 4), (4, 5)} is a function because each x-value has one unique y-value.

Front

What is an example of a relation that is not a function?

Back

The relation {(1, 2), (1, 3)} is not a function because the x-value 1 has two different y-values.

Front

What is the domain of a function?

Back

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