Function vs Non Function

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 mapping is a function?

Back

A mapping is a function if no x-value is paired with more than one y-value.

Front

What does it mean for an x-value to repeat in a function?

Back

If an x-value repeats and has different y-values, the relation is not a function.

Front

What is the vertical line test?

Back

The vertical line test states that if a vertical line intersects a graph at more than one point, the graph is not a function.

Front

Can a function have the same y-value for different x-values?

Back

Yes, a function can have the same y-value for different x-values, as long as each x-value has only one y-value.

Front

What is an example of a function?

Back

An example of a function is the equation y = 2x + 3.

Front

What is an example of a non-function?

Back

An example of a non-function is the relation {(1, 2), (1, 3), (2, 4)}.

Front

What is a relation in mathematics?

Back

A relation is a set of ordered pairs, which can represent a function or a non-function.

Front

What does it mean for a y-value to repeat in a function?

Back

A y-value can repeat in a function as long as each x-value is unique.