Function or not

Front

What is a function in mathematics?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

What is the vertical line test?

Back

The vertical line test is a method used to determine if a graph represents a function. If any vertical line intersects the graph at more than one point, then the graph is not a function.

Front

What does it mean for a set of ordered pairs to be a function?

Back

A set of ordered pairs is a function if no two different pairs have the same first element (input).

Front

How can you identify a non-function from a set of ordered pairs?

Back

A non-function can be identified if there are two or more ordered pairs with the same first element but different second elements.

Front

What is the definition of a relation in mathematics?

Back

A relation is a set of ordered pairs, which can include functions but is not limited to them.

Front

What is the difference between a function and a non-function?

Back

A function has a unique output for each input, while a non-function may have multiple outputs for a single input.

Front

What is an example of a function?

Back

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

Front

What is an example of a non-function?

Back

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

Front

What does it mean for a graph to represent a function?

Back

A graph represents a function if every x-coordinate (input) corresponds to exactly one y-coordinate (output).

Front

What is a one-to-one function?

Back

A one-to-one function is a function where each output is related to exactly one input, and no two inputs share the same output.