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

How can you determine if a mapping is a function?

Back

Check if each input (x-value) corresponds to only one output (y-value).

Front

What does it mean if a set of ordered pairs is not a function?

Back

It means that at least one x-value is paired with multiple 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

Given the ordered pairs (2, 5), (3, 7), (2, 8), is this a function?

Back

Not a function, because the x-value 2 is paired with two different y-values (5 and 8).

Front

What is an example of a function?

Back

The ordered pairs (1, 2), (2, 3), (3, 4) represent a function because each x-value is unique.

Front

What is an example of a non-function?

Back

The ordered pairs (1, 2), (1, 3), (2, 4) represent a non-function because the x-value 1 is paired with two different y-values.

Front

Can a function have repeated y-values?

Back

Yes, a function can have repeated y-values as long as each x-value is unique.

Front

What does it mean for a table to represent a function?

Back

It means that no x-value in the table is repeated with different y-values.