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Algebra 2 2-1 Complete Lesson: Relations and Functions

By Matt Richardson
Last updated almost 3 years ago
25 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.
1.

Solve It! The last digit in a 13-digit bar code is a check digit. Steps 1-3 show how the check digit checks the first 12 digits. Is it possible for 12 digits to generate two different check digits?

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2.

Solve It! Can two different sets of 12 digits have the same check digit?

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3.

Problem 1 Got It? Represent the relation in four different ways on the canvas provided.

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4.

Problem 2 Got It?

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5.

Problem 3 Got It? Is the relation a function?

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6.

Problem 3 Got It? Is the relation a function?

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7.

Problem 3 Got It? Resoning: How does a mapping diagram of a relation that is not a function differ from a mapping diagram of a function?

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8.

Problem 4 Got It? Use the vertical-line test. Which graph(s) represent functions? Select all that apply.

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9.

Problem 5 Got It?

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10.

Problem 5 Got It?

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11.

Problem 5 Got It?

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12.

Problem 6 Got It?

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13.
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14.
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15.
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16.
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17.

Vocabulary: Can you have a relation that is not a function? Can you have a function that is not a relation? Explain.

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18.

Error Analysis: Your friend writes, "In a function, every vertical line must intersect the graph in exactly one point." Explain your friend's error and rewrite the statement so that it is correct.

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19.

Reasoning: Why is there no horizontal-line test for functions?

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20.

Review Lessons 1-5 & 1-6: Identify the equations and/or inequalities for which each value is a solution.

  • x = 0
  • x = -3
  • x = -14
  • |3x + 9| = 0
  • 2 - 3x < 11
  • |2x| + 4 > 7
  • 15 + |x - 1| = 30
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21.

Review Lesson 1-4: Solve the equation for y.

22.

Vocabulary Review: Complete the sentence on the right with the correct word(s) from the left.

  • exactly
  • at least
  • at most
  • For every input of a function there is __?__ one output.
23.

Use Your Vocabulary: Match each description on the left with the appropriate set on the right.

  • The output values in the relation:
    {(1, 0), (-2, 3), (3, 2), (5, -4)}
  • The domain of the relation:
    {(-2, 3), (-2, 1), (5, 4)}
  • {-2, 1, 3, 5}
  • {-4, 0, 2, 3}
  • {-2, 5}
  • {1, 3, 4}
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24.

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.

25.

Reflection: Math Success

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