Domain and Range given a sets of ordered pairs

Front

What is the definition of a function in mathematics?

Back

A function is a relation in which each input (x-value) is associated with exactly one output (y-value).

Front

How can you determine if a relation is a function from a set of ordered pairs?

Back

A relation is a function if no x-value is repeated with different y-values.

Front

What are the domain and range of a relation?

Back

The domain is the set of all possible x-values, while the range is the set of all possible y-values.

Front

Given the ordered pairs {(1,3), (5,15), (2,6), (4,12), (3,9)}, what is the domain?

Back

The domain is {1, 2, 3, 4, 5}.

Front

What is the range of the ordered pairs {(1,3), (5,15), (2,6), (4,12), (3,9)}?

Back

The range is {3, 6, 9, 12, 15}.

Front

What does it mean if a relation has two y-values for the same x-value?

Back

It means the relation is not a function.

Front

How do you find the range of a function from a graph?

Back

Identify all the y-values that the graph reaches, including any repeated values.

Front

What is the significance of the vertical line test in determining functions?

Back

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

Front

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

Back

The set of ordered pairs {(2, 3), (4, 9), (3, 8), (4, 15)} is not a function because the x-value 4 has two different y-values.

Front

What are the steps to find the domain of a set of ordered pairs?

Back

List all the unique x-values from the ordered pairs.