Identifying Functions

Front

Does this mapping diagram represent a function?

Back

Yes, because each input goes to one and only one output.

Front

How do you use the vertical line test?

Back

Draw vertical lines through your graph. If any of the vertical lines you draw intersects the graph more than once then the graph is not the graph of a function.

Front

What is the definition of a function?

Back

Every input has only one output.

Front

Is the relation a function? Why?

Back

No, because the x-value 11 has two y-values pair with it.

Front

Does the table represent a function?

Back

Yes.

Front

What is a function?

Back

A relation where each input has exactly one output.

Front

What is the vertical line test?

Back

A method to determine if a graph represents a function by checking if vertical lines intersect the graph more than once.

Front

Can a function have the same output for different inputs?

Back

Yes, a function can have the same output for different inputs, but each input must have only one output.

Front

What is an example of a function?

Back

f(x) = x + 2 is a function because each input x has one output.

Front

What is an example of a non-function?

Back

y^2 = x is not a function because some x-values have two corresponding y-values.