Mapping Diagrams and Functions

The video tutorial explains mapping diagrams, illustrating how elements from one set map to another. It covers different types of mappings, including one-to-one, many-to-one, and one-to-many, using examples like doubling and squaring numbers. The video also distinguishes between mappings and functions, emphasizing that functions map each domain element to a single range element. The vertical line test is introduced as a method to determine if a graph represents a function.

What is the primary purpose of a mapping diagram?

• To draw geometric shapes

• To solve equations

• To represent mappings between two sets

• To calculate probabilities

In a mapping diagram, what is the set of elements we start with called?

• Function

• Range

• Output

• Domain

What is the term for the set of elements we get out of a mapping?

• Range

• Function

• Input

• Domain

What is the domain in a mapping diagram?

• The set of ranges

• The set of functions

• The set of inputs

• The set of outputs

What is the range in a mapping diagram?

• The set of inputs

• The set of functions

• The set of outputs

• The set of domains

What is the domain in a mapping diagram?

• The set of inputs

• The set of functions

• The set of outputs

• The set of ranges

What is the range in a mapping diagram?

• The set of domains

• The set of outputs

• The set of functions

• The set of inputs

How can mappings be represented besides using diagrams?

• As a paragraph

• As a single equation

• As a set of ordered pairs

• As a list of numbers

In a one-to-one mapping, what is true about the elements in the domain and range?

• No elements in the domain map to the range

• All elements in the domain map to the same element in the range

• Each element in the domain maps to a unique element in the range

• Each element in the domain maps to multiple elements in the range

What is a many-to-one mapping?

• Many elements in the domain map to one element in the range

• One element in the domain maps to many elements in the range

• Each element in the domain maps to a unique element in the range

• No elements in the domain map to the range