Algebra 2 6-6 Complete Lesson: Function Operations

Last updated over 4 years ago

25 questions

Note from the author:

F.BF.1.b

F.BF.1.c

F.BF.1.b

F.BF.1.c

F.BF.1.b

F.BF.1.c

F.BF.1.b

F.BF.1.c

F.BF.1.b

F.BF.1.c

F.BF.1.b

F.BF.1.c

A.REI.2

N.RN.1

N.RN.2

A.APR.5

A.REI.6

F.IF.1

100

F.BF.1.b

F.BF.1.c

Algebra 2 6-6 Complete Lesson: Function Operations

Last updated over 4 years ago

25 questions

Note from the author:

A complete formative lesson with embedded slideshow, mini lecture screencasts, checks for understanding, practice items, mixed review, and reflection. I create these assignments to supplement each lesson of Pearson's Common Core Edition Algebra 1, Algebra 2, and Geometry courses. See also mathquest.net and twitter.com/mathquestEDU.

F.BF.1.b

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

F.BF.1.c

F.BF.1.b

F.BF.1.c

F.BF.1.b

F.BF.1.c

F.BF.1.b

F.BF.1.c

F.BF.1.b

F.BF.1.c

F.BF.1.b

F.BF.1.c

F.BF.1.b

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

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

F.BF.1.b

F.BF.1.c

A.REI.2

N.RN.1

N.RN.2

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

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

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

F.IF.1

100

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

F.BF.1.b

F.BF.1.c

Algebra 2 6-6 Complete Lesson: Function Operations

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

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

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.

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 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

Problem 1 Got It?

Problem 2 Got It?

Problem 3 Got It?

Algebra 2 6-6 Complete Lesson: Function Operations

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

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

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.

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 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

Problem 1 Got It?

Problem 2 Got It?

Problem 3 Got It?

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.