Function or Not

Front

What is a function?

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 to determine if a graph represents a function. If any vertical line intersects the graph at more than one point, it 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 ordered pairs have the same first element (x-value).

Front

Give an example of a function using ordered pairs.

Back

(1, 2), (2, 3), (3, 4) is a function because each x-value is unique.

Front

Give an example of a set that is not a function using ordered pairs.

Back

(1, 2), (1, 3) is not a function because the x-value 1 is associated with two different y-values.

Front

What is the definition of a relation?

Back

A relation is any set of ordered pairs, which may or may not be a function.

Front

How can you tell if a table represents a function?

Back

A table represents a function if each x-value corresponds to only one y-value.

Front

What does it mean if a graph passes the vertical line test?

Back

If a graph passes the vertical line test, it means that for every x-value, there is only one corresponding y-value, indicating it is a function.

Front

What is an example of a graph that is not a function?

Back

A circle is an example of a graph that is not a function because a vertical line can intersect it at two points.

Front

What is the significance of unique x-values in a function?

Back

Unique x-values ensure that each input has a single output, which is a defining characteristic of functions.