Domain and Range

Front

What is the definition of a function?

Back

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

Front

What is the domain of a relation?

Back

The domain is the set of all x-values in a relation.

Front

What is the range of a relation?

Back

The range is the set of all y-values in a relation.

Front

How can you determine if a relation is a function using the vertical line test?

Back

If a vertical line intersects the graph at more than one point, the relation is not a function.

Front

What is an ordered pair?

Back

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

Front

What does it mean for a relation to be one-to-one?

Back

A one-to-one relation means that each x-value is paired with a unique y-value, and vice versa.

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, but each x-value must have only one y-value.

Front

What is the difference between a relation and a function?

Back

A relation can have multiple y-values for a single x-value, while a function cannot.

Front

What is a mapping diagram?

Back

A mapping diagram visually represents the relationship between the domain and range of a relation.

Front

What is the significance of the x-axis in a graph?

Back

The x-axis represents the domain of the function.