Function & 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

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

Back

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

Front

What does it mean for a graph to represent a function?

Back

A graph represents a function if any vertical line drawn through the graph intersects it at most once.

Front

Given the points (3, 5), (4, 9), (2, 5), which ordered pair can be added to make it a function?

Back

(1, 9) can be added because it does not repeat any x-values.

Front

What is the domain of the relation shown in the table: (6, 2), (18, 5)?

Back

The domain is {6, 18}.

Front

What is the range of the relation shown in the table: (3, 4), (3, 5), (4, 6)?

Back

The range is {4, 5, 6}.

Front

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

Back

No, because the x-value 2 is repeated with different y-values.

Front

What is an example of a function?

Back

An example of a function is f(x) = 2x + 3, where each x-value gives one unique y-value.