Algebra 2 6-6 Guided Practice: Function Operations

Last updated about 3 years ago

17 questions

3

5

F.BF.1.b

3

8

3

9

3

5

F.BF.1.b

F.BF.1.c

5

F.BF.1.b

F.BF.1.c

5

F.BF.1.b

F.BF.1.c

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Algebra 2 6-6 Guided Practice: Function Operations

Last updated about 3 years ago

17 questions

3

5

Solve It! You want to buy a sofa that was marked down by $50 before the clearance discount was applied.

The furniture store may add the 5% sales tax before applying the additional discount, or it may add the sales tax after applying the additional discount. Which way is better for you, the customer?

F.BF.1.b

Take Note: Take a moment to record the function operations in your notes.

3

8

Take Note: Use the properties of function operations to match equivalent expressions.

Draggable item		Corresponding Item
(h\cdot g)(x)		\frac{h(x)}{g(x)}
(\frac{h}{g})(x)		(h-g)(x)

10

Problem 1 Got It?

F.BF.1.b

3

10

Problem 2 Got It?

F.BF.1.b

3

10

Take Note: What is a composite function ?

You may use the canvas to help illustrate your written response.

9

Take Note: Consider functions f(x) and g(x) and the composite function g(f(x)).
Match equivalent items below.

Draggable item		Corresponding Item
Domain of g(f(x))		x
g(f(x))		Range of f(x)
Domain of f(x)		(g\circ f)(x)

10

Problem 3 Got It?

F.BF.1.b

F.BF.1.c

3

5

Take Note: Recall that
(g\circ f)(x)=g(f(x)).
Regardless of how this composition of functions is written, which function is evaluated first?

5

Problem 4 Got It? A store is offering a 15% discount on all items. Also, employees get a 20% discount (20% off original price(s)). Write a composite function to model taking the 15% discount and then the 20% discount.

F.BF.1.b

F.BF.1.c

5

Problem 4 Got It? A store is offering a 15% discount on all items. Also, employees get a 20% discount (20% off original price(s)). Write a composite function to model taking the 20% discount and then the 15% discount.

F.BF.1.b

F.BF.1.c

5

Problem 4 Got It? Reasoning: In the scenario above, which order of discounts results in a lower cost to the employee?

F.BF.1.b

F.BF.1.c

10

🧠 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! You want to buy a sofa that was marked down by $50 before the clearance discount was applied.

The furniture store may add the 5% sales tax before applying the additional discount, or it may add the sales tax after applying the additional discount. Which way is better for you, the customer?

Take Note: Take a moment to record the function operations in your notes.

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

Take Note: Use the properties of function operations to match equivalent expressions.

Draggable item		Corresponding Item
(h\cdot g)(x)		\frac{h(x)}{g(x)}
(\frac{h}{g})(x)		(h-g)(x)
h(x)-g(x)		h(x)\cdot g(x)
f(x)+g(x)		(f+g)(x)

10

Problem 1 Got It?

F.BF.1.b

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

10

Problem 2 Got It?

F.BF.1.b

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

10

Take Note: What is a composite function ?

You may use the canvas to help illustrate your written response.

Take Note: Consider functions f(x) and g(x) and the composite function g(f(x)).
Match equivalent items below.

Draggable item		Corresponding Item
Domain of g(f(x))		x
g(f(x))		Range of f(x)
Domain of f(x)		(g\circ f)(x)

10

Problem 3 Got It?

F.BF.1.b

F.BF.1.c

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

5

Take Note: Recall that
(g\circ f)(x)=g(f(x)).
Regardless of how this composition of functions is written, which function is evaluated first?

Problem 4 Got It? A store is offering a 15% discount on all items. Also, employees get a 20% discount (20% off original price(s)). Write a composite function to model taking the 15% discount and then the 20% discount.

Problem 4 Got It? A store is offering a 15% discount on all items. Also, employees get a 20% discount (20% off original price(s)). Write a composite function to model taking the 20% discount and then the 15% discount.

Problem 4 Got It? Reasoning: In the scenario above, which order of discounts results in a lower cost to the employee?

10

🧠 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.

🕵️ I carefully watched the entire video.

📵 I removed distractions from my field of view while watching the entire video.

🎧 I used headphones (or earbuds) to listen to the entire video as I watched it.

✋ I sought clarification, as needed, to understand each concept in the video.

🎓 I understand each concept in the video and feel ready to move on.

🎯 I feel prepared to complete challenging problems related to the video.

❌ None of these statements apply.

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

🕵️ I carefully watched the entire video.

📵 I removed distractions from my field of view while watching the entire video.

🎧 I used headphones (or earbuds) to listen to the entire video as I watched it.

✋ I sought clarification, as needed, to understand each concept in the video.

🎓 I understand each concept in the video and feel ready to move on.

🎯 I feel prepared to complete challenging problems related to the video.

❌ None of these statements apply.

h(x)-g(x)

h(x)\cdot g(x)

f(x)+g(x)

(f+g)(x)

B

C

D

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

🕵️ I carefully watched the entire video.

📵 I removed distractions from my field of view while watching the entire video.

🎧 I used headphones (or earbuds) to listen to the entire video as I watched it.

✋ I sought clarification, as needed, to understand each concept in the video.

🎓 I understand each concept in the video and feel ready to move on.

🎯 I feel prepared to complete challenging problems related to the video.

❌ None of these statements apply.

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

🕵️ I carefully watched the entire video.

📵 I removed distractions from my field of view while watching the entire video.

🎧 I used headphones (or earbuds) to listen to the entire video as I watched it.

✋ I sought clarification, as needed, to understand each concept in the video.

🎓 I understand each concept in the video and feel ready to move on.

🎯 I feel prepared to complete challenging problems related to the video.

❌ None of these statements apply.

A

B

C

D

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

🕵️ I carefully watched the entire video.

📵 I removed distractions from my field of view while watching the entire video.

🎧 I used headphones (or earbuds) to listen to the entire video as I watched it.

✋ I sought clarification, as needed, to understand each concept in the video.

🎓 I understand each concept in the video and feel ready to move on.

🎯 I feel prepared to complete challenging problems related to the video.

❌ None of these statements apply.

Let D(x) = cost after applying the 15% discount, E(x) = cost after applying the 20% employee discount, and x = cost of item(s). Then D(x) = 0.80x and E(x) = 0.85x. (E ◦ D)(x) = 0.68x.

Let D(x) = cost after applying the 15% discount, E(x) = cost after applying the 20% employee discount, and x = cost of item(s). Then D(x) = 0.85x and E(x) = 0.80x. (E ◦ D)(x) = 0.68x.

Let D(x) = cost after applying the 15% discount, E(x) = cost after applying the 20% employee discount, and x = cost of item(s). Then D(x) = 0.85x and E(x) = 0.80x. (D ◦ E)(x) = 0.68x.

Let D(x) = cost after applying the 15% discount, E(x) = cost after applying the 20% employee discount, and x = cost of item(s). Then D(x) = 0.80x and E(x) = 0.85x. (D ◦ E)(x) = 0.68x.

Algebra 2 6-6 Guided Practice: Function Operations

Algebra 2 6-6 Guided Practice: Function Operations

Take Note: Use the properties of function operations to match equivalent expressions.

Problem 1 Got It?

Problem 2 Got It?

Take Note: What is a composite function ? You may use the canvas to help illustrate your written response.

Take Note: Consider functions f(x) and g(x) and the composite function g(f(x)).Match equivalent items below.

Problem 3 Got It?

Take Note: Recall that(g\circ f)(x)=g(f(x)).Regardless of how this composition of functions is written, which function is evaluated first?

Problem 4 Got It? A store is offering a 15% discount on all items. Also, employees get a 20% discount (20% off original price(s)). Write a composite function to model taking the 15% discount and then the 20% discount.

Problem 4 Got It? A store is offering a 15% discount on all items. Also, employees get a 20% discount (20% off original price(s)). Write a composite function to model taking the 20% discount and then the 15% discount.

Problem 4 Got It? Reasoning: In the scenario above, which order of discounts results in a lower cost to the employee?

🧠 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.

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

Take Note: Use the properties of function operations to match equivalent expressions.

Problem 1 Got It?

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

Problem 2 Got It?

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

Take Note: What is a composite function ? You may use the canvas to help illustrate your written response.

Take Note: Consider functions f(x) and g(x) and the composite function g(f(x)).Match equivalent items below.

Problem 3 Got It?

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

Take Note: Recall that(g\circ f)(x)=g(f(x)).Regardless of how this composition of functions is written, which function is evaluated first?

Problem 4 Got It? A store is offering a 15% discount on all items. Also, employees get a 20% discount (20% off original price(s)). Write a composite function to model taking the 15% discount and then the 20% discount.

Problem 4 Got It? A store is offering a 15% discount on all items. Also, employees get a 20% discount (20% off original price(s)). Write a composite function to model taking the 20% discount and then the 15% discount.

Problem 4 Got It? Reasoning: In the scenario above, which order of discounts results in a lower cost to the employee?

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

Take Note: What is a composite function ?

You may use the canvas to help illustrate your written response.

Take Note: Consider functions f(x) and g(x) and the composite function g(f(x)).
Match equivalent items below.

Take Note: Recall that
(g\circ f)(x)=g(f(x)).
Regardless of how this composition of functions is written, which function is evaluated first?

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

Take Note: What is a composite function ?

You may use the canvas to help illustrate your written response.

Take Note: Consider functions f(x) and g(x) and the composite function g(f(x)).
Match equivalent items below.

Take Note: Recall that
(g\circ f)(x)=g(f(x)).
Regardless of how this composition of functions is written, which function is evaluated first?

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