Algebra 2 2-1 Guided Practice: Relations and Functions

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Video Check: Select all that apply with regards to the video embedded directly above this item.

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Solve It! The last digit in a 13-digit bar code is a check digit. Steps 1-3 show how the check digit checks the first 12 digits. Is it possible for 12 digits to generate two different check digits?

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Solve It! Can two different sets of 12 digits have the same check digit?

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Video Check: Select all that apply with regards to the video embedded directly above this item.

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Take Note: Define relation as it pertains to this lesson.

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Take Note: Categorize each representation of a relation on the left based on its type.

\{(3,-9),(11,21),(121,34),(34,1)\}

Ordered Pairs
Mapping Diagram
Table of Values
Graph

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Problem 1 Got It? Represent the relation in four different ways on the canvas provided.

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Video Check: Select all that apply with regards to the video embedded directly above this item.

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Take Note: Classify each item on the left based on whether it describes the domain or range of a relation.

The output values of a relation
Represented on the horizontal axis of a coordinate plane
Represented on the vertical axis of a coordinate plane
The input values of a relation
The y-values of a relation (usually)
The x-values of a relation (usually)

Domain
Range

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Problem 2 Got It?

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Video Check: Select all that apply with regards to the video embedded directly above this item.

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Take Note: Define function as it pertains to this lesson in the response field.

Part 2: On the canvas, provide an example of a relation that is a function on the left and one that is not a function on the right.

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Problem 3 Got It? Is the relation a function?

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Problem 3 Got It? Is the relation a function?

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Problem 3 Got It? Reasoning: How does a mapping diagram of a relation that is not a function differ from a mapping diagram of a function? You may use the canvas to help illustrate your response.

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Video Check: Select all that apply with regards to the video embedded directly above this item.

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Take Note: Describe the vertical line test in the response field.
◆ How does it work?
◆ What is its purpose?

Part 2: Provide an example of how to apply the vertical line test to the graph on the canvas. Be sure to respond to the question at the bottom of the canvas.

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Problem 4 Got It? Use the vertical-line test. Which graph(s) represent functions? Select all that apply.

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Video Check: Select all that apply with regards to the video embedded directly above this item.

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Take Note: Define function rule.

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Take Note: Describe function notation.

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Take Note: Provide an example of a function rule that is written in function notation. Include the input variable x.

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Take Note: Define independent variable of a function.

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Take Note: Define dependent variable of a function.

◆How can the word "depend" help you identify the dependent variable of a function?

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Take Note: Classify each item on the left based on whether it describes the domain or range of a function.

The independent variable of a function
The input values of a function
The y-values of a function (usually)
Represented on the vertical axis of a coordinate plane
The x-values of a function (usually)
Represented on the horizontal axis of a coordinate plane
The output values of a function
The dependent variable of a function

Domain
Range

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Problem 5 Got It?

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Problem 5 Got It?

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Problem 5 Got It?

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Video Check: Select all that apply with regards to the video embedded directly above this item.

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Problem 6 Got It?

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Video Check: Select all that apply with regards to the video embedded directly above this item.

Solve It! The last digit in a 13-digit bar code is a check digit. Steps 1-3 show how the check digit checks the first 12 digits. Is it possible for 12 digits to generate two different check digits?

Solve It! Can two different sets of 12 digits have the same check digit?

Video Check: Select all that apply with regards to the video embedded directly above this item.

Take Note: Define relation as it pertains to this lesson.

Take Note: Categorize each representation of a relation on the left based on its type.

Problem 1 Got It? Represent the relation in four different ways on the canvas provided.

Video Check: Select all that apply with regards to the video embedded directly above this item.

Take Note: Classify each item on the left based on whether it describes the domain or range of a relation.

Problem 2 Got It?

Video Check: Select all that apply with regards to the video embedded directly above this item.

Take Note: Define function as it pertains to this lesson in the response field.Part 2: On the canvas, provide an example of a relation that is a function on the left and one that is not a function on the right.

Problem 3 Got It? Is the relation a function?

Problem 3 Got It? Is the relation a function?

Problem 3 Got It? Reasoning: How does a mapping diagram of a relation that is not a function differ from a mapping diagram of a function? You may use the canvas to help illustrate your response.

Video Check: Select all that apply with regards to the video embedded directly above this item.

Take Note: Describe the vertical line test in the response field. ◆ How does it work? ◆ What is its purpose?Part 2: Provide an example of how to apply the vertical line test to the graph on the canvas. Be sure to respond to the question at the bottom of the canvas.

Problem 4 Got It? Use the vertical-line test. Which graph(s) represent functions? Select all that apply.

Video Check: Select all that apply with regards to the video embedded directly above this item.

Take Note: Define function rule.

Take Note: Describe function notation.

Take Note: Provide an example of a function rule that is written in function notation. Include the input variable x.

Take Note: Define independent variable of a function.

Take Note: Define dependent variable of a function.◆How can the word "depend" help you identify the dependent variable of a function?

Take Note: Classify each item on the left based on whether it describes the domain or range of a function.

Problem 5 Got It?

Problem 5 Got It?

Problem 5 Got It?

Video Check: Select all that apply with regards to the video embedded directly above this item.

Problem 6 Got It?

🧠 Retrieval Practice:Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?

Take Note: Define function as it pertains to this lesson in the response field.

Part 2: On the canvas, provide an example of a relation that is a function on the left and one that is not a function on the right.

Take Note: Describe the vertical line test in the response field.
◆ How does it work?
◆ What is its purpose?

Part 2: Provide an example of how to apply the vertical line test to the graph on the canvas. Be sure to respond to the question at the bottom of the canvas.

Take Note: Define dependent variable of a function.

◆How can the word "depend" help you identify the dependent variable of a function?

🧠 Retrieval Practice:
Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?