Exploring Functions and Relations in Mathematics

This lesson by Mr. Buffington explores the concepts of functions and relations. It explains that a relation is a list of ordered pairs, while a function is a specific type of relation where each input has a consistent output. The lesson covers how to identify functions using tables, ordered pairs, and graphs, including the vertical line test. Key vocabulary such as domain, range, input, and output are introduced to help understand these concepts.

What is a relation in mathematics?

• A function with no repeating values

• A graph with no vertical lines

• A single ordered pair

• A list of ordered pairs

Which of the following best describes a function?

• A relation where each input has multiple outputs

• A relation where each input has exactly one output

• A list of unordered pairs

• A graph with intersecting lines

If you input 1 into a function and get 3, what should you get if you input 1 again?

• 3

• 4

• Any value

• 5

What is another term for the x-value in an ordered pair?

• Domain

• Range

• Function

• Output

In a function, what is the y-value also known as?

• Relation

• Range

• Domain

• Input

How do you determine if a table represents a function?

• Check if all y-values are the same

• Check if there are no repeating x-values

• Check if the x-values are in ascending order

• Check if the table has more than five rows

What makes a table not a function?

• Values greater than 10

• Repeating x-values

• Repeating y-values

• Negative values

What is the vertical line test used for?

• To calculate the slope of a line

• To find the range of a function

• To identify ordered pairs

• To determine if a graph is a function

If a vertical line touches a graph in more than one place, what does it indicate?

• The graph is a function

• The graph is not a function

• The graph has no domain

• The graph has no range

Which of the following graphs represents a function?

• A graph with horizontal lines

• A graph where vertical lines touch multiple points

• A graph where vertical lines touch only one point

• A graph with no points