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Polynomial Graphs and Symmetry
Geoff Goehle and Mitsuo Kobayashi
The College Mathematics Journal
Vol. 44, No. 1 (January 2013), pp. 37-42
Published by: Mathematical Association of America
Stable URL: http://www.jstor.org/stable/10.4169/college.math.j.44.1.037
Page Count: 6
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Summary Most quadratic functions are not even, but every parabola has symmetry with respect to some vertical line. Similarly, every cubic has rotational symmetry with respect to some point, though most cubics are not odd. We show that every polynomial has at most one point of symmetry and give conditions under which the polynomial has rotational or horizontal symmetry with respect to that point.
Copyright the Mathematical Association of America 2013