Function or not

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input. In other words, for every x-value, there is one and only one y-value.

Front

What is a non-function?

Back

A non-function is a relation where at least one input is associated with multiple outputs. This means that for some x-values, there are two or more corresponding y-values.

Front

How can you determine if a graph represents a function?

Back

You can use the vertical line test: if a vertical line intersects the graph at more than one point, then the graph is not a function.

Front

What is the vertical line test?

Back

The vertical line test is a method used to determine if a graph is a function. If any vertical line crosses the graph more than once, the graph is not a function.

Front

What are ordered pairs?

Back

Ordered pairs are pairs of numbers used to represent points on a graph, typically written in the form (x, y).

Front

Give an example of a function using ordered pairs.

Back

Example: {(1, 2), (2, 3), (3, 4)} is a function because each x-value is paired with exactly one y-value.

Front

Give an example of a non-function using ordered pairs.

Back

Example: {(1, 2), (1, 3), (2, 4)} is a non-function because the x-value 1 is paired with two different y-values.

Front

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

Back

It means that for every x-value in the graph, there is only one corresponding y-value.

Front

What does it mean for a graph to be not a function?

Back

It means that there exists at least one x-value that corresponds to multiple y-values.

Front

What is a relation in mathematics?

Back

A relation is a set of ordered pairs, which can represent a function or a non-function.