Understanding Functions and Relations

This video tutorial introduces key mathematical concepts: relations, functions, domain, and range. It explains how to identify and represent relations using ordered pairs, tables, mapping diagrams, and coordinate planes. The tutorial delves into domain and range, highlighting their roles as input and output values. It defines functions as specific types of relations with unique outputs for each input, using the vertical line test to distinguish them. The video also demonstrates solving functions using equations and domain values to find range values.

What are the four key vocabulary words introduced in the video?

• Equations, Inequalities, Domain, Range

• Graphs, Tables, Domain, Range

• Relations, Functions, Variables, Constants

• Relations, Functions, Domain, Range

How is a relation defined?

• A set of ordered pairs

• A single number

• A single ordered pair

• A set of unordered numbers

Which of the following is NOT a way to represent a relation?

• Table

• Mapping diagram

• List of ordered pairs

• Single number

What does the domain of a relation represent?

• Dependent variable

• Input values

• Range values

• Output values

In a relation, what is another term for range?

• Domain values

• Independent variable

• Input values

• Output values

When writing domain values, how should they be ordered?

• Alphabetical order

• Random order

• Least to greatest

• Greatest to least

What is a function?

• A single ordered pair

• A relation with multiple outputs for each input

• A relation where each input has a unique output

• A set of unordered numbers

What is the vertical line test used for?

• To identify ordered pairs

• To calculate the range of a function

• To find the domain of a function

• To determine if a graph is a function

If a vertical line intersects a graph at more than one point, what does it indicate?

• The graph is a function

• The graph is a relation

• The graph is not a function

• The graph is a line

What is the first step in finding the range values from a function equation?

• Identify the y-intercept

• Plug in domain values

• List all possible outputs

• Draw a graph