Identifying and Representing Functions

The video tutorial explains how to identify and represent functions using various methods. It begins with a practical example of calculating the cost of pencils to illustrate the concept of functions as a relationship between input and output. The tutorial then covers mapping diagrams, tables, and graphs as tools to determine if a relationship is a function. Key concepts such as the vertical line test and the importance of having one output for each input are highlighted.

What is the relationship between an action and a result called?

• An equation

• A function

• A variable

• A constant

If Carlos buys 12 pencils, how much will it cost him?

• 2 dollars

• 3 dollars

• 4 dollars

• 5 dollars

What is the cost per pencil if Angela bought 2 pencils for 50 cents?

• 10 cents

• 30 cents

• 20 cents

• 25 cents

In a mapping diagram, what indicates that a relationship is a function?

• Each output has exactly one input

• Each output has multiple inputs

• Each input has exactly one output

• Each input has multiple outputs

What does it mean if a mapping diagram has two lines leading off from one input?

• It is a constant

• It is a variable

• It is not a function

• It is a function

In a table, what indicates that a relationship is not a function?

• All output values are unique

• Some output values repeat

• Some input values repeat

• All input values are unique

If a table has input values 5, 10, 15, 20, 20, is it a function?

• No

• Maybe

• Cannot be determined

• Yes

What test can be used on a graph to determine if a relationship is a function?

• Diagonal line test

• Vertical line test

• Parallel line test

• Horizontal line test

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

• It is a variable

• It is not a function

• It is a function

• It is a constant

In a graph, what do the input values represent in the context of students studying for an exam?

• Exam grades

• Number of questions

• Number of hours studied

• Number of students