6. This problem involves the graph below on the right and its description below on the left. There are 10 people in a line. Let A = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. Let f be the function that, to each number m in A, assigns the number of letters in the first name of the person who is the mth per- son in the line. Sally and John are two people in the line. At the right is the graph of f. To the best of your ability answer the following questions. Explain completely. 8 6 4 2 #letters position in line 2 4 6 8 10 a) Is it possible that John is the fourth b) Is it possible that someone on the person in the line? line is named Alejandro? c) Where in the line is Sally standing? d) Is someone named Steve in the line?

Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
ChapterA: Appendix: Review Topics
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6. This problem involves the graph below on the right and its description below on the
left.
There are 10 people in a line. Let A =
{1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. Let f be the function that,
to each number m in A, assigns the number of letters
in the first name of the person who is the mth per-
son in the line. Sally and John are two people in the
line. At the right is the graph of f. To the best of
your ability answer the following questions. Explain
completely.
c)
8
Where in the line is Sally standing? d)
6
4
2
#letters
a) Is it possible that John is the fourth b) Is it possible that someone on the
person in the line?
line is named Alejandro?
position in line
2 4 6 8 10
Is someone named Steve in the
line?
Transcribed Image Text:6. This problem involves the graph below on the right and its description below on the left. There are 10 people in a line. Let A = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. Let f be the function that, to each number m in A, assigns the number of letters in the first name of the person who is the mth per- son in the line. Sally and John are two people in the line. At the right is the graph of f. To the best of your ability answer the following questions. Explain completely. c) 8 Where in the line is Sally standing? d) 6 4 2 #letters a) Is it possible that John is the fourth b) Is it possible that someone on the person in the line? line is named Alejandro? position in line 2 4 6 8 10 Is someone named Steve in the line?
e) Is it possible that there are three f)
people in the line who have the
same name?
g) Are there two people in the line h) Does anyone in the line have the
who have the same number of let-
ters in their first names? If so,
where are they standing in the line?
same number of letters in their first
name as the person behind them?
i)
Is there anyone in the line whose
name is twice as long as the person
in front of them?
Is there a number n with the prop- j)
erty that f(n + 2) = 5?
Is there a number n with the prop-
erty that f(n) + 2 = 5?
Transcribed Image Text:e) Is it possible that there are three f) people in the line who have the same name? g) Are there two people in the line h) Does anyone in the line have the who have the same number of let- ters in their first names? If so, where are they standing in the line? same number of letters in their first name as the person behind them? i) Is there anyone in the line whose name is twice as long as the person in front of them? Is there a number n with the prop- j) erty that f(n + 2) = 5? Is there a number n with the prop- erty that f(n) + 2 = 5?
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