Function Representation and Characteristics

This video tutorial explains the concepts of relations and functions, focusing on the criteria that define a function. It covers different ways to represent functions, such as mapping diagrams, ordered pairs, graphs, and tables. The video also provides examples to illustrate these concepts and explains how to use the vertical line test to determine if a graph represents a function.

What is the other name for the input values in a relation?

• Output

• Domain

• Function

• Range

What is the range in a relation?

• The set of input values

• The set of output values

• The set of repeating values

• The set of all values

What is the domain in a relation?

• The set of input values

• The set of output values

• The set of all values

• The set of repeating values

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

• Graph

• Equation

• Ordered Pair

• Mapping Diagram

Which representation method uses pairs of numbers to show relations?

• Mapping Diagram

• Ordered Pair

• Graph

• Table

In a mapping diagram, what indicates that a relation is not a function?

• Non-repeating x-values

• Non-repeating y-values

• Repeating y-values

• Repeating x-values

What does the vertical line test determine about a graph?

• If it is a linear function

• If it is a quadratic function

• If it is a function

• If it is a relation

In a graph, if a vertical line touches the graph more than once, what does it indicate?

• It is a function

• It is not a function

• It is a linear function

• It is a quadratic function

When using a table to determine if a relation is a function, what should you check?

• Repeating y-values

• Repeating x-values

• Non-repeating y-values

• Non-repeating x-values

What should you focus on in ordered pairs to determine if a relation is a function?

• Non-repeating y-values

• Repeating x-values

• Non-repeating x-values

• Repeating y-values