Function, Relations, Domain,and Range

Front

What is the definition of a function?

Back

A function is a relation that assigns exactly one output for each input.

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

What is a relation in mathematics?

Back

A relation is 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?

Back

A relation is a function if each input value corresponds to exactly one output value.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a graph represents a function; if a vertical line intersects the graph at more than one point, it is not a function.

Front

Identify the domain of the relation {(-6,14), (0,32), (2,38), (4,44)}.

Back

{-6, 0, 2, 4}

Front

Identify the range of the relation {(-6,14), (0,32), (2,38), (4,44)}.

Back

{14, 32, 38, 44}

Front

What are the x-values in a relation called?

Back

The x-values are called the domain.

Front

What are the y-values in a relation called?

Back

The y-values are called the range.