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Algebra 1 4-6 Formalizing Relations and Functions
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4.5 (1 rating)
by Matthew Richardson
| 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.
The outlined content above was added from outside of Formative.
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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.
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2
10 pts
Problem 1 Got It? Identify the domain and range of the relation.
Place each value only once.
  • Domain
    Answer by dragging items here
  • Range
    Answer by dragging items here
3
10 pts
Problem 1 Got It? Represent the relation with a mapping diagram.
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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.
  • Domain
    Answer by dragging items here
  • Range
    Answer by dragging items here
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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 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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10 pts
Problem 4 Got It?
A
B
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D
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12
10 pts
Problem 5 Got It?
A
B
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D
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13
5 pts
Problem 5 Got It?
A
B
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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}
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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
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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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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.
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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 trips
    Answer by dragging items here
  • Time
    Answer by dragging items here
  • Elevation
    Answer by dragging items here
  • Number of deer spotted
    Answer by dragging items here
  • Distance from home
    Answer by dragging items here
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30 pts
Review Lesson 4-1: Describe how the variables are related at the indicated points on the graph.
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10 pts
Review Lesson 1-2: Evaluate the expression for x = 1, 2, 3, and 4.
  • Expression = 18
    Answer by dragging items here
  • Expression = 12
    Answer by dragging items here
  • Expression = 9
    Answer by dragging items here
  • Expression = 15
    Answer by dragging items here
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10 pts
Review Lesson 1-2: Evaluate the expression for x = 1, 2, 3, and 4. Only use each x-value once.
  • Expression = 7
    Answer by dragging items here
  • Expression = 15
    Answer by dragging items here
  • Expression = 29
    Answer by dragging items here
  • Expression = 25
    Answer by dragging items here
  • Expression = 8
    Answer 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 A
    Answer by dragging items here
  • Region B
    Answer by dragging items here
  • Region C
    Answer 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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