Flashback #42 (Mixed Review)

Front

What is a relation in mathematics?

Back

A relation is a set of ordered pairs, where each pair consists of an input (from the domain) and an output (from the range).

Front

What is the domain of a relation?

Back

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

Front

What is the range of a relation?

Back

The range of a relation is the set of all possible output values (y-values) that result from the inputs in the domain.

Front

Given the relation {(3,0), (7,0), (3,5), (7,5)}, what is the domain?

Back

The domain is {3, 7}.

Front

Given the relation {(3,0), (7,0), (3,5), (7,5)}, what is the range?

Back

The range is {0, 5}.

Front

What does it mean for a relation to be a function?

Back

A relation is a function if every input from the domain is associated with exactly one output in the range.

Front

Identify the ordered pairs in the relation {(3,0), (7,0), (3,5), (7,5)}.

Back

The ordered pairs are (3,0), (7,0), (3,5), and (7,5).

Front

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

Back

The relation {(1,2), (1,3)} is not a function because the input 1 is associated with two different outputs (2 and 3).

Front

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

Back

You can use the vertical line test: if a vertical line intersects the graph at more than one point, the relation is not a function.

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers (x, y) where 'x' is the first element (input) and 'y' is the second element (output).