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

How can you tell if a graph represents a function?

Back

A graph represents a function if any vertical line drawn through the graph intersects it at most once (Vertical Line Test).

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

What does it mean if a relation is 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 function have repeating x-values?

Back

Yes, a function can have repeating x-values as long as each x-value corresponds to the same y-value.

Front

What is an example of a function?

Back

An example of a function is the equation y = 2x + 3, where each x-value has a unique y-value.

Front

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

Back

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

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 does it mean for y-values to repeat in a function?

Back

In a function, y-values can repeat as long as each x-value corresponds to only one y-value.

Front

What is a set of ordered pairs?

Back

A set of ordered pairs is a collection of pairs (x, y) that represent a relation between x and y.