Algebra 1 4-6 Complete Lesson: Formalizing Relations and Functions

4.5 (1 rating)

by Matthew Richardson

| 31 QuestionsNote 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.

1

1

10 pts

Solve It! Your friend is playing a board game. He is on the space shown in the diagram. He rolled a 3 to get to that space. On which spaces could he have started before rolling the 3? Select all that apply.

1

2

3

4

5

6

7

8

9

10

2

10 pts

Problem 1 Got It? Identify the domain and range of the relation.

Place each value only once.

- 4.2
- 1.5
- 5
- 2.2
- 7
- 4.8
- 0

- Domain
- Range

3

10 pts

Problem 1 Got It? Represent the relation with a mapping diagram.

4

5 pts

Problem 1 Got It? Is the relation a function?

Yes

No

5

10 pts

Problem 1 Got It? Identify the domain and range of the relation.

Place each value only once.

- -1
- 1
- -2
- 2
- 4
- -4
- 7
- -7

- Domain
- Range

6

10 pts

Problem 1 Got It? Represent the relation with a mapping diagram.

7

5 pts

Problem 1 Got It? Is the relation a function?

Yes

No

8

8

5 pts

Problem 2 Got It?

A

B

9

9

5 pts

Problem 2 Got It?

A

B

10

10

10 pts

Problem 3 Got It? Use the function in Problem 3, w(x) = 250x. How many words can you read in 6 min? Enter only a number.

11

11

10 pts

Problem 4 Got It?

A

B

C

D

12

12

10 pts

Problem 5 Got It?

A

B

C

D

13

13

5 pts

Problem 5 Got It?

A

B

14

10 pts

Consider the relation {(-2, -3), (-1, 4), (0, 5), (1, 6)}.

Identify the domain of the relation.

{-3, 4, 5, 6}

{-3, -2, -1, 0, 1, 5, 6}

{-2, -1, 0, 1}

15

10 pts

Consider the relation {(-2, -3), (-1, 4), (0, 5), (1, 6)}.

Identify the range of the relation.

{-3, -2, -1, 0, 1, 5, 6}

{-3, 4, 5, 6}

{-2, -1, 0, 1}

16

10 pts

Consider the relation {(-2, -3), (-1, 4), (0, 5), (1, 6)}.

Represent the relation with a mapping diagram. Remember to label the domain and range in your diagram.

17

17

5 pts

Is the relation in the graph a function? Use the vertical line test.

No, it is not a function.

Yes, it is a function.

18

10 pts

What is f(2) for the function f(x) = 4x + 1?

3

-2

9

43

19

10 pts

The domain of f(x), defined below, is {-4, -2, 0, 2, 4}. What is the range?

{-2, -1, 0, 1, 2}

{-8, -4, 0, 4, 8}

{-2, -1, 1, 2}

20

5 pts

Vocabulary: Write y = 2x + 7 using function notation.

f(x) = 2x + 7

f(x) = {y|y is a Real number, y = 2x + 7}

21

20 pts

Compare and Contrast: You can use a mapping diagram or the vertical line test to tell if a relation is a function. Which method do you prefer? Explain.

22

22

10 pts

Error Analysis: A student drew the dashed line on the graph shown and concluded that the graph represented a function. Is the student correct? Explain.

23

10 pts

Review Lesson 4-5: Match each function rule with the situation it models.

- E = 7 + 5h
- a = 4.5s + 10

- You buy several pairs of socks for $4.50 per pair, plus a shirt for $10. The total amount a you spend is a function of the number of pairs of socks you buy.
- You babysit for $5 per hour and get a $7 tip. Your earnings E are a function of the number of hours h you work.

24

24

10 pts

Review Lesson 4-1: The graph shows a family's distance from home as they drive to the mountains for a vacation. Label the variables in the graph.

- variable

- Number of trips
- Time
- Elevation
- Number of deer spotted
- Distance from home

25

30 pts

Review Lesson 4-1: Describe how the variables are related at the indicated points on the graph.

26

10 pts

Review Lesson 1-2: Evaluate the expression for x = 1, 2, 3, and 4.

- x = 1
- x = 2
- x = 3
- x = 4

- Expression = 18
- Expression = 12
- Expression = 9
- Expression = 15

27

10 pts

Review Lesson 1-2: Evaluate the expression for x = 1, 2, 3, and 4. Only use each x-value once.

Not all expression value categories will be used.

- x = 1
- x = 2
- x = 3
- x = 4

- Expression = 7
- Expression = 15
- Expression = 29
- Expression = 22
- Expression = 8

28

10 pts

Vocabulary Review: Use the words in the left column to label the function machine in the image below. Use each word once.

- function rule
- y-values
- output
- x-values
- input
- range

- Region A
- Region B
- Region C

29

10 pts

Use Your Vocabulary: Complete each sentence with the appropriate word from the column on the left. Use each word once.

- reasonable
- reasonableness
- unreasonable

- The student estimated to check the __?__ of her answer.
- Sales tax of $32 on an $85 item is __?__.
- A price of $14 is __?__ for a pizza.

30

100 pts

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.

31

10 pts

Reflection: Math Success

Add to my formatives list

Formative uses cookies to allow us to better understand how the site is used. By continuing to use this site, you consent to the Terms of Service and Privacy Policy.