Functions vs. Non-Functions

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 more than one output (y-value).

Front

What is the vertical line test?

Back

The vertical line test is 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

Does the mapping diagram with repeating input values represent a function?

Back

No, because there are repeating input values.

Front

Which of the following sets of ordered pairs represents a function? {(3, 2), (4, 4), (6, 3), (4, 5)}

Back

This set does not represent a function because the input 4 has two different outputs.

Front

Which of the following sets of ordered pairs represents a function? {(4, –3), (4, –1), (4, 3), (4, 6)}

Back

This set does not represent a function because the input 4 has multiple outputs.

Front

Which of the following sets of ordered pairs represents a function? {(–4, 4), (–2, 4), (1, 4), (5, 4)}

Back

This set represents a function because each input has only one output.

Front

What does it mean for a relation to be a function?

Back

A relation is a function if every input is paired with exactly one output.

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 non-function?

Back

An example of a non-function is the set of ordered pairs {(1, 2), (1, 3)} because the input 1 has two outputs.