Identifying functions

Front

What is a function?

Back

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

Front

How can you determine if a mapping is a function?

Back

A mapping is a function if no x-values repeat; each input must correspond to one unique output.

Front

What does it mean if x-values repeat in a set of ordered pairs?

Back

If x-values repeat, the relation is not a function because it violates the definition of a function.

Front

What is the vertical line test?

Back

The vertical line test states that if a vertical line intersects a graph at more than one point, the graph does not represent a function.

Front

Which of the following is a function: {(1,2), (2,3), (3,4)} or {(1,2), (1,3), (2,4)}?

Back

{(1,2), (2,3), (3,4)} is a function because no x-values repeat.

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)} because the x-value 1 corresponds to two different y-values.

Front

What is a graph of a function?

Back

A graph of a function is a visual representation where each x-value has only one y-value.

Front

How can you identify a function from a graph?

Back

You can identify a function from a graph by using the vertical line test.

Front

What is the definition of ordered pairs?

Back

Ordered pairs are pairs of numbers (x, y) that represent coordinates on a graph.

Front

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

Back

For a set of ordered pairs to be a function, each x-value must be unique and correspond to one y-value.