Domain, Range, Relation and Functions

Front

What is the RANGE of a relation?

Back

The y-values of the ordered pairs in the relation.

Front

What is the DOMAIN of a relation?

Back

The x-values of the ordered pairs in the relation.

Front

Given the relation {(6, 4), (8, -1), (x, 7), (-3, -6)}, which values of x will make the relation a function?

Back

x = 7, because it does not repeat any x-value.

Front

Is the relation {(1, 2), (2, 3), (3, 4)} a function?

Back

Yes, it is a function because each input (x-value) has exactly one output (y-value).

Front

What is the RANGE of the relation {(−4, 6), (8, 7), (−6, −5), (2, −3), (5, 0)}?

Back

The RANGE is {6, 7, -5, -3, 0}.

Front

What is the DOMAIN of the relation {(−4, 6), (8, 7), (−6, −5), (2, −3), (5, 0)}?

Back

The DOMAIN is {−4, 8, −6, 2, 5}.

Front

What is a function?

Back

A relation where each input (x-value) has exactly one output (y-value).

Front

What is a relation?

Back

A set of ordered pairs, where each pair consists of an input and an output.

Front

How can you determine if a relation is a function using a graph?

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 the difference between a function and a relation?

Back

All functions are relations, but not all relations are functions. Functions have unique outputs for each input.