Function or Not

Front

What is a function?

Back

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

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 an ordered pair?

Back

An ordered pair is a pair of numbers (x, y) that represent a point in a coordinate system.

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 pairs have the same first element (x-value) with different second elements (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, it is not a function.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a graph is a function by checking if any vertical line crosses the graph more than once.

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 has two different y-values.

Front

What is a relation?

Back

A relation is any set of ordered pairs, regardless of whether it is a function or not.

Front

What is the domain of a function?

Back

The domain is the set of all possible input values (x-values) for a function.