Functions, 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

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 mapping {(1, 2), (2, 3), (3, 4)} a function?

Back

Yes, it is a function because each input has one output.

Front

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

Back

No, it is not a function because the input '1' has two different outputs.

Front

What is an ordered pair?

Back

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

Front

Given the function {(2, 4), (3, 6), (4, 8)}, what is the range?

Back

The range is {4, 6, 8}.

Front

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

Back

A relation is a function if no two ordered pairs have the same first element (x-value).

Front

Identify the domain of the relation {(1, 5), (2, 6), (3, 7)}.

Back

The domain is {1, 2, 3}.

Front

Identify the range of the relation {(1, 5), (2, 6), (3, 7)}.

Back

The range is {5, 6, 7}.