Algebra 2 6-6 Complete Lesson: Function Operations

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Solve It! You want to buy a sofa that was marked down by $100 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

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Solve It! In the above item, how much do you save by choosing the less expensive option?
Enter your response in this format: $12.30

F.BF.1.b

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Problem 1 Got It?

F.BF.1.b

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Problem 2 Got It?

F.BF.1.b

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Problem 3 Got It?

F.BF.1.b

F.BF.1.c

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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

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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

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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

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F.BF.1.b

F.BF.1.c

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F.BF.1.b

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F.BF.1.b

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F.BF.1.b

F.BF.1.c

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F.BF.1.b

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F.BF.1.b

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F.BF.1.b

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Error Analysis: Your friend used some simple functions and found the following to be true for particular functions f and g and concluded that function composition is commutative.

Give an example to show that your friend is mistaken.
Define each of the following in your counterargument:
f(x)
g(x)
(f °g)(x)
(g ° f)(x)
Note: To form a counterexample, (f °g)(x) should not equal (g ° f)(x).

F.BF.1.b

F.BF.1.c

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Open-Ended: Find two functions f and g such that, for all real numbers x

F.BF.1.b

F.BF.1.c

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Review Lesson 6-5: Identify the solution(s) to each equation on the right. Be sure to check for extraneous solutions.

-2
0
1
2
3

A.REI.2

N.RN.1

N.RN.2

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Review Lesson 5-7: Expand the binomial. Respond with a polynomial in standard form.
Recall the Binomial Theorem and Pascal's triangle.
Do not use commas in coeffients.

A.APR.5

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Review Lesson 3-1: Graph the system. Take note of the solution(s). Zoom and pan your graph to establish and appropriate viewing window.

We have released a new and improved Graphing question type! Students will no longer be able to answer this question.

A.REI.6

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Review Lesson 3-1: Graph the system. Take note of the solution(s). Zoom and pan your graph to establish and appropriate viewing window.

We have released a new and improved Graphing question type! Students will no longer be able to answer this question.

A.REI.6

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Vocabulary Review: Identify the item(s) from the left that match the categories on the right. (Each category will contain a single item from the left.)

input

F.IF.1

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Use Your Vocabulary: Complete each sentence with the correct form of the word composite.

composite
composition
compose

VERB: The musician worked to __?__ a new piece of music.
ADJECTIVE: A __?__ number has more than two factors.
NOUN: The poster was a __?__ of photos and famous quotes.

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Notes: Take a clear picture or screenshot of your Cornell notes for this lesson. Upload it to the canvas. Zoom and pan as needed.

For a refresher on the Cornell note-taking system, click here.

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Reflection: Math Success

F.BF.1.b

F.BF.1.c

Algebra 2 6-6 Complete Lesson: Function Operations

Solve It! In the above item, how much do you save by choosing the less expensive option? Enter your response in this format: $12.30

Problem 1 Got It?

Problem 2 Got It?

Problem 3 Got It?

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?

Open-Ended: Find two functions f and g such that, for all real numbers x

Review Lesson 6-5: Identify the solution(s) to each equation on the right. Be sure to check for extraneous solutions.

Review Lesson 5-7: Expand the binomial. Respond with a polynomial in standard form.Recall the Binomial Theorem and Pascal's triangle.Do not use commas in coeffients.

Review Lesson 3-1: Graph the system. Take note of the solution(s). Zoom and pan your graph to establish and appropriate viewing window.

Review Lesson 3-1: Graph the system. Take note of the solution(s). Zoom and pan your graph to establish and appropriate viewing window.

Vocabulary Review: Identify the item(s) from the left that match the categories on the right. (Each category will contain a single item from the left.)

Use Your Vocabulary: Complete each sentence with the correct form of the word composite.

Notes: Take a clear picture or screenshot of your Cornell notes for this lesson. Upload it to the canvas. Zoom and pan as needed.For a refresher on the Cornell note-taking system, click here.

Reflection: Math Success

Solve It! In the above item, how much do you save by choosing the less expensive option? Enter your response in this format: $12.30

Problem 1 Got It?

Problem 2 Got It?

Problem 3 Got It?

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?

Open-Ended: Find two functions f and g such that, for all real numbers x

Review Lesson 6-5: Identify the solution(s) to each equation on the right. Be sure to check for extraneous solutions.

Review Lesson 5-7: Expand the binomial. Respond with a polynomial in standard form.Recall the Binomial Theorem and Pascal's triangle.Do not use commas in coeffients.

Review Lesson 3-1: Graph the system. Take note of the solution(s). Zoom and pan your graph to establish and appropriate viewing window.

Review Lesson 3-1: Graph the system. Take note of the solution(s). Zoom and pan your graph to establish and appropriate viewing window.

Vocabulary Review: Identify the item(s) from the left that match the categories on the right. (Each category will contain a single item from the left.)

Use Your Vocabulary: Complete each sentence with the correct form of the word composite.

Notes: Take a clear picture or screenshot of your Cornell notes for this lesson. Upload it to the canvas. Zoom and pan as needed.For a refresher on the Cornell note-taking system, click here.

Reflection: Math Success

Solve It! In the above item, how much do you save by choosing the less expensive option?
Enter your response in this format: $12.30

Review Lesson 5-7: Expand the binomial. Respond with a polynomial in standard form.
Recall the Binomial Theorem and Pascal's triangle.
Do not use commas in coeffients.

Notes: Take a clear picture or screenshot of your Cornell notes for this lesson. Upload it to the canvas. Zoom and pan as needed.

For a refresher on the Cornell note-taking system, click here.

Solve It! In the above item, how much do you save by choosing the less expensive option?
Enter your response in this format: $12.30

Review Lesson 5-7: Expand the binomial. Respond with a polynomial in standard form.
Recall the Binomial Theorem and Pascal's triangle.
Do not use commas in coeffients.

Notes: Take a clear picture or screenshot of your Cornell notes for this lesson. Upload it to the canvas. Zoom and pan as needed.

For a refresher on the Cornell note-taking system, click here.