Function vs Non 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 a non-function?

Back

A non-function is a relation where at least one input (x-value) has more than 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

Give an example of a function.

Back

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

Front

Give an example of a non-function.

Back

An example of a non-function is the set of ordered pairs {(1,2), (1,3), (1,4)}.

Front

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

Back

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

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers (x, y) that represent a point on a graph.

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.

Front

What is the range of a function?

Back

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

Front

How can you tell if a set of points represents a function?

Back

You can tell if a set of points represents a function by checking if each x-value is paired with only one y-value.