Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 1 - Functions and Their Graphs - Section 1.4 Library of Functions; Piecewise-defined Functions - 1.4 Assess Your Understanding - Page 85: 15

Answer

Reciprocal function $(F)$

Work Step by Step

We can see from the graph that it represents the reciprocal function, which is expressed as: $ f(x)=\dfrac{1}{x}$. It shows a horizontal asymptote at $y=0$ and a vertical asymptote at $x=0$. Also, the reciprocal function cannot be defined for $x=0$ (division by zero), as is evident in the graph. So, the matching graph is $(F)$.
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