Domain and Range

Front

What is a set of ordered pairs called?

Back

A relation.

Front

What defines a function in terms of input and output?

Back

Every input is paired with exactly one output.

Front

What is the domain of a relation?

Back

The set of all possible input values (x-values).

Front

What is the range of a relation?

Back

The set of all possible output values (y-values).

Front

How can you determine if a graph represents a function?

Back

Use the vertical line test: if a vertical line intersects the graph at more than one point, it is not a function.

Front

What is an example of a relation that is not a function?

Back

The relation {(1, 2), (1, 3)} is not a function because the input 1 has two different outputs.

Front

What does it mean for a relation to be a function?

Back

Each input must correspond to exactly one output.

Front

If the domain of a function is {2, 4, 6}, what are the possible x-values?

Back

The possible x-values are 2, 4, and 6.

Front

If the range of a function is {3, 5, 7}, what are the possible y-values?

Back

The possible y-values are 3, 5, and 7.

Front

What is the domain of the relation shown in the table: {(6, 12), (18, 24)}?

Back

The domain is {6, 18}.