Function/Not a Function

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 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

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

Give an example of a function.

Back

An example of a function is the relation {(1,2), (2,3), (3,4)}.

Front

Give 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), (2,4)}.

Front

What is the horizontal line test?

Back

The horizontal line test determines if a function is one-to-one. If any horizontal line intersects the graph more than once, the function is not one-to-one.

Front

What does it mean for a function to be one-to-one?

Back

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

Front

How can you tell if a table of values represents a function?

Back

A table represents a function if no x-value is repeated with different y-values.

Front

What is a mapping diagram?

Back

A mapping diagram visually represents a function by showing how each input is paired with an output.

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 the function.