3-1 Identify Functions and 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

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

Back

Check if any x-value is paired with more than one y-value. If so, it is not a function.

Front

What is the domain of a relation?

Back

The domain is the set of all possible x-values (inputs) in a relation.

Front

What is the range of a relation?

Back

The range is the set of all possible y-values (outputs) in a relation.

Front

Is the following set of ordered pairs a function? {(1, 2), (2, 3), (1, 4)}

Back

No, because the x-value 1 has two y-values (2 and 4).

Front

Identify the domain of the relation: {(3, 5), (4, 6), (5, 7)}

Back

{3, 4, 5}.

Front

Identify the range of the relation: {(1, 2), (2, 3), (3, 4)}

Back

{2, 3, 4}.

Front

What does it mean if a relation is not a function?

Back

It means that at least one x-value is associated with more than one y-value.

Front

Is the following table a function? x: 1, 2, 3, 4; y: 2, 3, 2, 4

Back

No, because the x-value 1 and 3 both have the same y-value (2).

Front

What is the vertical line test?

Back

A method to determine if a graph represents a function; if a vertical line intersects the graph at more than one point, it is not a function.