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
10
Question 3
3.
Problem 2 Got It?
5
Question 4
4.
Problem 3 Got It? Is the relation a function?
5
10
Question 7
7.
Problem 4 Got It? Use the vertical-line test. Which graph(s) represent functions? Select all that apply.
Question 8
8.
Problem 4 Got It? Use the vertical-line test. Which graph(s) represent functions? Select all that apply.
10
Question 9
9.
10
Question 10
10.
10
Question 11
11.
10
Question 12
12.
Question 13
13.
Vocabulary: Can you have a relation that is not a function? Can you have a function that is not a relation? Explain.
Question 14
14.
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.
Question 15
15.
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.
Question 16
16.
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}
Question 2
2.
Solve It! Can two different sets of 12 digits have the same check digit?
Question 5
5.
Problem 3 Got It? Is the relation a function?
Question 6
6.
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?