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Where is the centre of the graph of a polynomial?

Published online by Cambridge University Press:  01 August 2016

Ronald Skurnick
Ronald Skurnick*
Affiliation:
Department of Mathematics, Statistics, and Computer Processing, Nassau Community College (SUNY), Garden City, NY 11530-6793, USA
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Extract

Anyone who has taken first-semester calculus has spent a considerable amount of time studying polynomial functions and their graphs. Calculus I students typically learn how to locate certain special points with respect to the graphs of polynomials, such as their x- and y-intercepts, their local maxima and minima, and their points of inflection (if any). They then learn that these points, together with information provided by the first and second derivatives of the functions, can be used to sketch the graphs of polynomials.

Type
Articles
Information
The Mathematical Gazette , Volume 86 , Issue 505 , March 2002 , pp. 59 - 65
Copyright
Copyright © The Mathematical Association 2002

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References

1. Edgerton, E. I. Carpenter, P. A. and White, M. R. Advanced algebra, Allyn and Bacon, 1961.Google Scholar
2. http://www.utm.edu/research/primes/glossary/AsymptoticallyEqual.html, The Prime Glossary: asymptotically equal.Google Scholar
3. Skurnick, R. A note on polynomials and their derivatives, submitted for publication to AMTYC Review.Google Scholar