Algebra 2 2-1 Complete Lesson: Relations and Functions
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Last updated almost 4 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.
5 points
5
Question 1
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?
5 points
5
Question 2
2.
Solve It! Can two different sets of 12 digits have the same check digit?
40 points
40
Question 3
3.
Problem 1 Got It? Represent the relation in four different ways on the canvas provided.
10 points
10
Question 4
4.
Problem 2 Got It?
5 points
5
Question 5
5.
Problem 3 Got It? Is the relation a function?
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5
Question 6
6.
Problem 3 Got It? Is the relation a function?
10 points
10
Question 7
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?
10 points
10
Question 8
8.
Problem 4 Got It? Use the vertical-line test. Which graph(s) represent functions? Select all that apply.
5 points
5
Question 9
9.
Problem 5 Got It?
5 points
5
Question 10
10.
Problem 5 Got It?
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5
Question 11
11.
Problem 5 Got It?
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10
Question 12
12.
Problem 6 Got It?
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10
Question 13
13.
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10
Question 14
14.
10 points
10
Question 15
15.
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10
Question 16
16.
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10
Question 17
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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10
Question 18
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.
10 points
10
Question 19
19.
Reasoning: Why is there no horizontal-line test for functions?
20 points
20
Question 20
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
10 points
10
Question 21
21.
Review Lesson 1-4: Solve the equation for y.
10 points
10
Question 22
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.
10 points
10
Question 23
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}
100 points
100
Question 24
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.
