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

By Matt Richardson
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Last updated about 2 years ago
31 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.
10
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.
10
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
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10
3.
Problem 1 Got It? Represent the relation with a mapping diagram.
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5
4.
Problem 1 Got It? Is the relation a function?
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10
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
F.IF.1
10
6.
Problem 1 Got It? Represent the relation with a mapping diagram.
F.IF.1
5
7.
Problem 1 Got It? Is the relation a function?
F.IF.1
5
8.
Problem 2 Got It?
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5
9.
Problem 2 Got It?
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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.
10
11.
Problem 4 Got It?
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10
12.
Problem 5 Got It?
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5
13.
Problem 5 Got It?
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10
14.
Consider the relation {(-2, -3), (-1, 4), (0, 5), (1, 6)}.

Identify the domain of the relation.
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10
15.
Consider the relation {(-2, -3), (-1, 4), (0, 5), (1, 6)}.

Identify the range of the relation.
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10
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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5
17.
Is the relation in the graph a function? Use the vertical line test.
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10
18.
What is f(2) for the function f(x) = 4x + 1?
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10
19.
The domain of f(x), defined below, is {-4, -2, 0, 2, 4}. What is the range?
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5
20.
Vocabulary: Write y = 2x + 7 using function notation.
20
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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10
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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10
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.
10
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
30
25.
Review Lesson 4-1: Describe how the variables are related at the indicated points on the graph.
10
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
10
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
10
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
10
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.
100
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.
10
31.
Reflection: Math Success
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