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 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 paired with more than one y value.

Front

What does it mean if a graph passes the vertical line test?

Back

If a graph passes the vertical line test, it means that for every x value, there is only one corresponding y value, confirming it is a function.

Front

Given the set of points {(1,2), (2,3), (3,4)}, what is the domain?

Back

The domain is {1, 2, 3}.

Front

Given the set of points {(1,2), (2,3), (3,4)}, what is the range?

Back

The range is {2, 3, 4}.

Front

What is an example of a non-function?

Back

The relation {(1,2), (1,3)} is not a function because the x value 1 is paired with two different y values.

Front

What variable typically represents the domain in a function?

Back

The variable x typically represents the domain.

Front

What variable typically represents the range in a function?

Back

The variable y typically represents the range.