Algebra 2 8-2 Guided Practice: The Reciprocal Function Family
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Last updated almost 3 years ago
25 questions
3 points
3
Question 1
1.
Video Check: Select all that apply with regards to the video embedded directly above this item.
10 points
10
Question 2
2.
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?
3 points
3
Question 3
3.
Video Check: Select all that apply with regards to the video embedded directly above this item.
10 points
10
Question 4
4.
Take Note: Define reciprocal function.
5 points
5
Question 5
5.
Take Note: Provide an example of a reciprocal function.
9 points
9
Question 6
6.
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.
Draggable item
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Corresponding Item
k
arrow_right_alt
Vertical scaling & reflection
a
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Horizontal translation
h
arrow_right_alt
Vertical translation
20 points
20
Question 7
7.
Problem 1 Got It? Which statements below are true regarding the graph of the function?
Select all that apply.
10 points
10
Question 8
8.
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}
3 points
3
Question 9
9.
Video Check: Select all that apply with regards to the video embedded directly above this item.
10 points
10
Question 10
10.
Take Note: What is a branch of a graph of a reciprocal function?
10 points
10
Question 11
11.
Take Note: Sketch a reciprocal function with asymptotes at x=-3 and y=5.
10 points
10
Question 12
12.
Problem 2 Got It?
10 points
10
Question 13
13.
Problem 2 Got It?
10 points
10
Question 14
14.
Problem 2 Got It?
3 points
3
Question 15
15.
Video Check: Select all that apply with regards to the video embedded directly above this item.
5 points
5
Question 16
16.
Take Note: How does the parameter h relate to the asymptotes of a translated reciprocal function?
5 points
5
Question 17
17.
Take Note: How does the parameter k relate to the asymptotes of a translated reciprocal function?
20 points
20
Question 18
18.
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.
3 points
3
Question 19
19.
Video Check: Select all that apply with regards to the video embedded directly above this item.
10 points
10
Question 20
20.
Take Note: Summarize the process of writing the equation of a transformed reciprocal function from its asymptotes (as demonstrated in Problem 4).
10 points
10
Question 21
21.
Problem 4 Got It? The graph below is a translation of the graph of
What is an equation of the function?
3 points
3
Question 22
22.
Video Check: Select all that apply with regards to the video embedded directly above this item.
15 points
15
Question 23
23.
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.
All real numbers
Whole numbers from 1 to 312
Integers from -13 to 325
173 students
162 students
160 students
If every student who attends shares the facility cost equally, what function models the cost per student C with respect to the number of students n who attend?
What is the domain of the function? Consider only the domain values that make sense in the context of the problem.
How many students must attend to make the cost per student no more than $7.50 per student?
15 points
15
Question 24
24.
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.
All real numbers
Whole numbers from 1 to 282
190 students
172 students
165 students
Suppose the class wants to promote the event by giving away 30 free admissions to the event. What new function models the cost per student C with respect to the number of students n who attend?
What is the domain of the new function, with 30 tickets to be given away? Consider only the domain values that make sense in the context of the problem.
now, how many students must attend to make the cost per student no more than $7.50 per student?
10 points
10
Question 25
25.
🧠 Retrieval Practice:
Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?
