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

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Posljednje ažuriranje almost 6 years ago
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Pitanje 2
2.

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

Pitanje 3
3.

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

Pitanje 4
4.

Problem 1 Got It? Is the relation a function?

Pitanje 5
5.

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

Pitanje 6
6.

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

Pitanje 7
7.

Problem 1 Got It? Is the relation a function?

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Pitanje 8
8.

Problem 2 Got It?

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Pitanje 9
9.

Problem 2 Got It?

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Pitanje 10
10.

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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Pitanje 11
11.

Problem 4 Got It?

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Pitanje 12
12.

Problem 5 Got It?

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Pitanje 13
13.

Problem 5 Got It?

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Pitanje 14
14.

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

Identify the domain of the relation.

Pitanje 15
15.

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

Identify the range of the relation.

Pitanje 16
16.

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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Pitanje 17
17.

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

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Pitanje 18
18.

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

Pitanje 19
19.

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

Pitanje 20
20.

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

Pitanje 21
21.

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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Pitanje 22
22.

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.

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Pitanje 23
23.

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.

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Pitanje 24
24.

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

Pitanje 25
25.

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

Pitanje 26
26.

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

Pitanje 27
27.

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

Pitanje 28
28.

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

Pitanje 29
29.

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.

Pitanje 30
30.

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.

Pitanje 31
31.

Reflection: Math Success

Pitanje 1
1.

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.