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November 2020 Classifying the Reflection and Stretching of the Reciprocal Function
Scott H. Demsky
Missouri J. Math. Sci. 32(2): 227-230 (November 2020). DOI: 10.35834/2020/3202227

Abstract

We present a simple criterion to determine if the graph of a rational function of the form $ f(x)=\frac{ax+b}{cx+d} $ includes a reflection of the reciprocal function $ r(x)=\frac{1}{x} $ over the $ x $-axis. In addition, we determine an algebraic expression for the factor by which the graph of $ y=r(x) $ is stretched vertically to produce the graph of $ y=f(x) $.

Citation

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Scott H. Demsky. "Classifying the Reflection and Stretching of the Reciprocal Function." Missouri J. Math. Sci. 32 (2) 227 - 230, November 2020. https://doi.org/10.35834/2020/3202227

Information

Published: November 2020
First available in Project Euclid: 6 November 2020

MathSciNet: MR4171141
Digital Object Identifier: 10.35834/2020/3202227

Subjects:
Primary: 26C15

Rights: Copyright © 2020 Central Missouri State University, Department of Mathematics and Computer Science

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Vol.32 • No. 2 • November 2020
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