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 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 is an ordered pair?

Back

An ordered pair is a pair of numbers used to represent a point in a coordinate system, typically written as (x, y).

Front

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

Back

A relation is not a function if at least one input (x-value) is associated with more than one output (y-value).

Front

Can a vertical line represent a function?

Back

No, a vertical line cannot represent a function because it would intersect the graph at multiple points, violating the definition of a function.

Front

What is a mapping diagram?

Back

A mapping diagram visually represents a function by showing how each input is paired with an output.

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input is associated with exactly one output, while a relation can have multiple outputs for a single input.

Front

Give an example of a function using ordered pairs.

Back

An example of a function is the set of ordered pairs {(1, 2), (2, 3), (3, 4)} where each x-value is unique.

Front

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

Back

An example of a relation that is not a function is the set of ordered pairs {(1, 2), (1, 3), (2, 4)} where the x-value '1' is associated with two different y-values.

Front

What is a graph of a function?

Back

A graph of a function is a visual representation of the relationship between the input (x) and output (y) values, plotted on a coordinate plane.