Functions

Front

What is a function?

Back

A function is a relation where each input (or domain) has exactly one output (or range).

Front

What is the definition of domain in a function?

Back

The domain of a function is the set of all possible input values (x-values) that the function can accept.

Front

What is the definition of range in a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

How can you determine if a graph represents a function?

Back

A graph represents a function if any vertical line drawn through the graph intersects it at most once (Vertical Line Test).

Front

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

Back

A mapping is not a function if at least one input is associated with more than one output.

Front

Given the relation (1, 2), (1, 3), (2, 4), is this a function?

Back

No, because the input '1' is associated with two outputs (2 and 3).

Front

What is the domain of the relation (2, 5), (3, 6), (4, 7)?

Back

The domain is {2, 3, 4}.

Front

What is the range of the relation (2, 5), (3, 6), (4, 7)?

Back

The range is {5, 6, 7}.

Front

If a function has the points (1, 2), (2, 3), (3, 4), what is the output when the input is 2?

Back

The output is 3.

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.