Identify Functions

Front

What is a function?

Back

A function is a relation where each input (x-value) is associated with exactly one output (y-value).

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) is associated with more than one output (y-value).

Front

Is the relation (1,5), (1,6), (1,7), (1,8), (1,9) a function?

Back

Not a function, because the input '1' is associated with multiple outputs.

Front

Is the relation (6,-5), (7,-3), (8,-1), (9,1) a function?

Back

Function, because each input is associated with exactly one output.

Front

How can you determine if a relation is a function using a graph?

Back

A relation is a function if any vertical line drawn on the graph intersects the curve at most once (Vertical Line Test).

Front

What is the Vertical Line Test?

Back

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

Front

What is an example of a function?

Back

An example of a function is the relation (2,3), (3,4), (4,5), where each input has a unique output.

Front

What is an example of a relation that is not a function?

Back

An example of a relation that is not a function is (1,2), (1,3), where the input '1' has two different outputs.

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Front

What is the range of a function?

Back

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