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 graph represents a function?

Back

A graph represents a function if no vertical line intersects the graph at more than one point (Vertical Line Test).

Front

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

Back

A relation is not a function if at least one input (x-value) corresponds to more than one output (y-value).

Front

Identify the domain of the function represented by the points (1,2), (2,3), (3,4).

Back

The domain is {1, 2, 3}.

Front

Identify the range of the function represented by the points (1,2), (2,3), (3,4).

Back

The range is {2, 3, 4}.

Front

Which of the following sets is not a function? (1,2), (1,3), (2,4)

Back

(1,2), (1,3) is not a function because the input 1 has two different outputs.

Front

True or False: The set of points (2,3), (3,4), (2,5) is a function.

Back

False, because the input 2 has two different outputs (3 and 5).

Front

What is the Vertical Line Test?

Back

The Vertical Line Test is a method to determine if a graph is a function by checking if any vertical line crosses the graph more than once.