8.PFA.2&3 Domain, Range, and Functions

Front

What is 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

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

Back

No, it is not a function because the input '1' has two different outputs (2 and 4).

Front

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

Back

It means that at least one input value is associated with more than one output value.

Front

Identify the domain of the relation {(3,5), (4,9), (2,5)}.

Back

The domain is {3, 4, 2}.

Front

Identify the range of the relation {(3,5), (4,9), (2,5)}.

Back

The range is {5, 9}.

Front

Which of the following is a function: {(1,2), (2,3), (3,4)} or {(1,2), (1,3), (2,4)}?

Back

The first set {(1,2), (2,3), (3,4)} is a function.

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers (x, y) that represent a point in a coordinate system.

Front

If a function has a domain of {1, 2, 3}, what can you say about its range?

Back

The range can vary; it depends on the outputs corresponding to each input in the domain.