Domain and Range

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 the domain of a function?

Back

The domain is the set of all possible input values (x-values) for a function.

Front

What is the range of a function?

Back

The range is the set of all possible output values (y-values) for a function.

Front

How can you determine if a relation is a function?

Back

A relation is a function if no x-value is repeated in the ordered pairs.

Front

Given the ordered pairs {(1,3), (2,4), (1,5)}, is this a function?

Back

No, this is not a function because the x-value '1' is repeated.

Front

What are the range values of the relation {(1,3), (2,6), (3,9)}?

Back

The range values are {3, 6, 9}.

Front

If the domain of a function is {1, 2, 3}, what can the range be?

Back

The range can be any set of values, but it must have a corresponding output for each input.

Front

What does it mean if a graph fails 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 the domain of the function represented by the graph with x-values from -6 to 4?

Back

The domain is {-6, 0, 2, 3, 4}.

Front

What is the range of the set of ordered pairs: (2, 11), (9, -3), (7, 21), (-8, 6)?

Back

The range is {11, -3, 21, 6}.