Graphing Polynomials: Solving Homework Questions 3 & 4

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SUMMARY

This discussion focuses on graphing polynomials, specifically addressing homework questions 3 and 4 related to unrestricted and restricted domains. The user graphed points from Statistics Canada and sought clarification on the meaning of "unrestricted domain." The consensus is that question 3 asks for a hypothetical continuation of the graph beyond the given data, while question 4 confirms that the domain is initially restricted to the years 1997 to 2001, with an extension to 2007 if the function is assumed to hold true beyond the provided data.

PREREQUISITES
  • Understanding of polynomial functions and their graphs
  • Familiarity with the concept of domain in mathematics
  • Basic knowledge of data interpretation from graphs
  • Experience with graphing tools or software
NEXT STEPS
  • Research the concept of "unrestricted domain" in polynomial functions
  • Explore graphing techniques for visualizing polynomial behavior beyond given data
  • Learn about extrapolation methods for predicting values outside a restricted domain
  • Study the implications of domain restrictions in real-world data analysis
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Students studying calculus, educators teaching polynomial graphing, and anyone interested in understanding domain restrictions in mathematical functions.

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)
 
Last edited by a moderator:
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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
 

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