Graphing Polynomials: Solving Homework Questions 3 & 4

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The discussion focuses on homework help for graphing polynomials, specifically questions 3 and 4. For question 3, the concept of "unrestricted domain" is clarified, indicating that the graph could extend beyond the given data points. In question 4, it is confirmed that the domain is initially restricted to the years 1997 to 2001, but if considered unrestricted, it prompts speculation about the graph's behavior in 2007. The conversation emphasizes understanding domain restrictions in relation to polynomial functions. Overall, the thread provides insights into interpreting graphing questions related to polynomial behavior over time.
Ishtar
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Homework help (polynomial graphing)

here is the problem:

[img=http://img267.imageshack.us/img267/3900/calculushelphd7.th.jpg]

i need help with questions 3, 4

The Attempt at a Solution


for number 3
i got more points from http://www40.statcan.ca/l01/cst01/prim11a.htm
and plotted them, but i don't get what's it mean by unrestricted domain
i graphed this
http://img528.imageshack.us/img528/8028/picgmk5.png

for #4
i said its restricted to it because 2007 didn't happen yet (is tat right)
 
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3 is just asking, "Suppose the graph continued. What would it look like?"

For 4- you are correct. The "domain" is the dates given and is initially "restricted" to between 1997 and 2001. If it were "unrestricted", that is, if you assume the function will be correct for later dates, what value would your functions give for 2007?
 
thank you
 
Question: A clock's minute hand has length 4 and its hour hand has length 3. What is the distance between the tips at the moment when it is increasing most rapidly?(Putnam Exam Question) Answer: Making assumption that both the hands moves at constant angular velocities, the answer is ## \sqrt{7} .## But don't you think this assumption is somewhat doubtful and wrong?

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