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) is associated with more than one output (y-value).

Front

How can you determine if a relation is a function using a table?

Back

If any x-value in the table is repeated with different y-values, it is not a function.

Front

What does the vertical line test determine?

Back

The vertical line test determines if a graph represents a function. If a vertical line intersects the graph at more than one point, it is not a function.

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers (x, y) that represents a point on a graph.

Front

Can y-values repeat in a function?

Back

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

Front

What is the definition of a relation?

Back

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

Front

What is an example of a function?

Back

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

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 does it mean for x-values to be unique in a function?

Back

It means that no two ordered pairs can have the same x-value with different y-values.