Identify Functions

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 the definition of a relation?

Back

A relation is a set of ordered pairs, where each pair consists of an input and an output.

Front

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

Back

A mapping is a function if every input is associated with one and only 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 a vertical line intersects the graph at more than one point, it is not a function.

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

How can you tell if a set of ordered pairs is a function?

Back

A set of ordered pairs is a function if no two pairs have the same first element (x-value).

Front

What is the difference between a function and not a function?

Back

A function has one output for each input, while a not a function has at least one input with multiple outputs.

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 not a function using ordered pairs.

Back

(1, 2), (1, 3), (2, 4) is not a function because the x-value '1' has two different outputs.

Front

What is the significance of the Horizontal Line Test?

Back

The Horizontal Line Test determines if a function is one-to-one, meaning each output is associated with only one input.