Algebra 2 8-2 Guided Practice: The Reciprocal Function Family

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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! For a class party, the students will share the cost for the hall rental. Each student will also have to pay $8 for food. The cost of the hall rental is already graphed. What effect does the food cost have on the graph?

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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 reciprocal function.

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Take Note: Provide an example of a reciprocal function.

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Take Note: Consider the general form of the reciprocal function family y=\frac{a}{x-h}+k.

Match each parameter with the transformational impact it has on the parent function.

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Problem 1 Got It? Which statements below are true regarding the graph of the function?
Select all that apply.

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Problem 1 Got It?

Graph the three functions on the same plane at desmos.com.
Zoom and pan your graph to establish an appropriate viewing window. Consider the similarities and differences between the graphs.
Think about the domain, range, intercepts, asymptotes, etc., and how they relate to the equation of each function.
Take a screenshot of your graph and upload or paste it onto the Formative canvas.
y=\frac{6}{x}, y=\frac{8}{x}, y=\frac{12}{x}

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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: What is a branch of a graph of a reciprocal function?

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Take Note: Sketch a reciprocal function with asymptotes at x=-3 and y=5.

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Problem 2 Got It?

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Problem 2 Got It?

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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.

5

Take Note: How does the parameter h relate to the asymptotes of a translated reciprocal function?

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Take Note: How does the parameter k relate to the asymptotes of a translated reciprocal function?

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Problem 3 Got It? What is the graph of the function? Identify its domain and range on the canvas. Include graph detail.
Use Desmos to check your work and make any necessary edits AFTER first graphing by hand.

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

10

Take Note: Summarize the process of writing the equation of a transformed reciprocal function from its asymptotes (as demonstrated in Problem 4).

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Problem 4 Got It? The graph below is a translation of the graph of

What is an equation of the function?

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

15

Problem 5 Got It? The junior class is renting a laser tag facility with a capacity of 325 people. The cost for the facility is $1200. The party must have 13 adult chaperones.

Respond to each question on the right with the appropriate response from the left.

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Problem 5 Got It? The junior class is renting a laser tag facility with a capacity of 325 people. The cost for the facility is $1200. The party must have 13 adult chaperones.

Respond to each question on the right with the appropriate response from the left.

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Algebra 2 8-2 Guided Practice: The Reciprocal Function Family

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

Solve It! For a class party, the students will share the cost for the hall rental. Each student will also have to pay $8 for food. The cost of the hall rental is already graphed. What effect does the food cost have on the graph?

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

Take Note: Define reciprocal function.

Take Note: Provide an example of a reciprocal function.

Take Note: Consider the general form of the reciprocal function family y=\frac{a}{x-h}+k.Match each parameter with the transformational impact it has on the parent function.

Problem 1 Got It? Which statements below are true regarding the graph of the function? Select all that apply.

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

Take Note: What is a branch of a graph of a reciprocal function?

Take Note: Sketch a reciprocal function with asymptotes at x=-3 and y=5.

Problem 2 Got It?

Problem 2 Got It?

Problem 2 Got It?

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

Take Note: How does the parameter h relate to the asymptotes of a translated reciprocal function?

Take Note: How does the parameter k relate to the asymptotes of a translated reciprocal function?

Problem 3 Got It? What is the graph of the function? Identify its domain and range on the canvas. Include graph detail. Use Desmos to check your work and make any necessary edits AFTER first graphing by hand.

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

Take Note: Summarize the process of writing the equation of a transformed reciprocal function from its asymptotes (as demonstrated in Problem 4).

Problem 4 Got It? The graph below is a translation of the graph of What is an equation of the function?

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

Problem 5 Got It? The junior class is renting a laser tag facility with a capacity of 325 people. The cost for the facility is $1200. The party must have 13 adult chaperones.Respond to each question on the right with the appropriate response from the left.

Problem 5 Got It? The junior class is renting a laser tag facility with a capacity of 325 people. The cost for the facility is $1200. The party must have 13 adult chaperones.Respond to each question on the right with the appropriate response from the left.

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

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

Solve It! For a class party, the students will share the cost for the hall rental. Each student will also have to pay $8 for food. The cost of the hall rental is already graphed. What effect does the food cost have on the graph?

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

Take Note: Define reciprocal function.

Take Note: Provide an example of a reciprocal function.

Take Note: Consider the general form of the reciprocal function family y=\frac{a}{x-h}+k.Match each parameter with the transformational impact it has on the parent function.

Problem 1 Got It? Which statements below are true regarding the graph of the function? Select all that apply.

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

Take Note: What is a branch of a graph of a reciprocal function?

Take Note: Sketch a reciprocal function with asymptotes at x=-3 and y=5.

Problem 2 Got It?

Problem 2 Got It?

Problem 2 Got It?

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

Take Note: How does the parameter h relate to the asymptotes of a translated reciprocal function?

Take Note: How does the parameter k relate to the asymptotes of a translated reciprocal function?

Problem 3 Got It? What is the graph of the function? Identify its domain and range on the canvas. Include graph detail. Use Desmos to check your work and make any necessary edits AFTER first graphing by hand.

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

Take Note: Summarize the process of writing the equation of a transformed reciprocal function from its asymptotes (as demonstrated in Problem 4).

Problem 4 Got It? The graph below is a translation of the graph of What is an equation of the function?

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

Problem 5 Got It? The junior class is renting a laser tag facility with a capacity of 325 people. The cost for the facility is $1200. The party must have 13 adult chaperones.Respond to each question on the right with the appropriate response from the left.

Problem 5 Got It? The junior class is renting a laser tag facility with a capacity of 325 people. The cost for the facility is $1200. The party must have 13 adult chaperones.Respond to each question on the right with the appropriate response from the left.

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

Take Note: Consider the general form of the reciprocal function family y=\frac{a}{x-h}+k.

Match each parameter with the transformational impact it has on the parent function.

Problem 1 Got It? Which statements below are true regarding the graph of the function?
Select all that apply.

Problem 3 Got It? What is the graph of the function? Identify its domain and range on the canvas. Include graph detail.
Use Desmos to check your work and make any necessary edits AFTER first graphing by hand.

Problem 4 Got It? The graph below is a translation of the graph of

What is an equation of the function?

Problem 5 Got It? The junior class is renting a laser tag facility with a capacity of 325 people. The cost for the facility is $1200. The party must have 13 adult chaperones.

Respond to each question on the right with the appropriate response from the left.

Problem 5 Got It? The junior class is renting a laser tag facility with a capacity of 325 people. The cost for the facility is $1200. The party must have 13 adult chaperones.

Respond to each question on the right with the appropriate response from the left.

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

Take Note: Consider the general form of the reciprocal function family y=\frac{a}{x-h}+k.

Match each parameter with the transformational impact it has on the parent function.

Problem 1 Got It? Which statements below are true regarding the graph of the function?
Select all that apply.

Problem 3 Got It? What is the graph of the function? Identify its domain and range on the canvas. Include graph detail.
Use Desmos to check your work and make any necessary edits AFTER first graphing by hand.

Problem 4 Got It? The graph below is a translation of the graph of

What is an equation of the function?

Problem 5 Got It? The junior class is renting a laser tag facility with a capacity of 325 people. The cost for the facility is $1200. The party must have 13 adult chaperones.

Respond to each question on the right with the appropriate response from the left.

Problem 5 Got It? The junior class is renting a laser tag facility with a capacity of 325 people. The cost for the facility is $1200. The party must have 13 adult chaperones.

Respond to each question on the right with the appropriate response from the left.

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