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Algebra 1 4-6 Formalizing Relations and Functions

4.5 (1 rating)

| 30 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.

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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.

- DomainAnswer by dragging items here
- RangeAnswer by dragging items here

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.

- DomainAnswer by dragging items here
- RangeAnswer by dragging items here

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

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8

5 pts

Problem 2 Got It?

A

B

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9

5 pts

Problem 2 Got It?

A

B

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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.

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11

10 pts

Problem 4 Got It?

A

B

C

D

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12

10 pts

Problem 5 Got It?

A

B

C

D

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

{-3, 4, 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, 4, 5, 6}

{-2, -1, 0, 1}

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

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.

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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?

-2

43

9

3

19

10 pts

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

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

{-2, -1, 1, 2}

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

20

5 pts

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

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

f(x) = 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.

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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.

- 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.Answer by dragging items here
- 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.Answer by dragging items here

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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.

- Number of tripsAnswer by dragging items here
- TimeAnswer by dragging items here
- ElevationAnswer by dragging items here
- Number of deer spottedAnswer by dragging items here
- Distance from homeAnswer by dragging items here

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.

- Expression = 18Answer by dragging items here
- Expression = 12Answer by dragging items here
- Expression = 9Answer by dragging items here
- Expression = 15Answer by dragging items here

27

10 pts

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

- Expression = 7Answer by dragging items here
- Expression = 15Answer by dragging items here
- Expression = 29Answer by dragging items here
- Expression = 25Answer by dragging items here
- Expression = 8Answer by dragging items here

28

10 pts

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

- Region AAnswer by dragging items here
- Region BAnswer by dragging items here
- Region CAnswer by dragging items here

29

10 pts

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

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

30

10 pts

Reflection: Math Success

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