Is It A Function (no graphs)

Front

What is a function?

Back

A function is a relation where each input (x-value) has exactly one output (y-value).

Front

What does it mean if a mapping is not a function?

Back

It means that at least one input is associated with multiple outputs.

Front

How can you tell if a mapping diagram represents a function?

Back

Each input must connect to only one output.

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers (x, y) that represents a point in a coordinate system.

Front

What does it mean for an x-value to repeat in a set of ordered pairs?

Back

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

Front

What is the vertical line test?

Back

A method to determine if a graph represents a function; if a vertical line crosses the graph more than once, it 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 a mapping diagram?

Back

A visual representation of a function that shows how each input is paired with an output.

Front

What is the definition of a relation?

Back

A relation is any set of ordered pairs.

Front

What is an example of a function?

Back

The relation {(1, 2), (2, 3), (3, 4)} is a function because each x-value has one unique y-value.