Answer
odd, $origin$.
Work Step by Step
Step 1. Given $f(x)=\frac{1}{x}$, we have $f(-x)=\frac{1}{(-x)}=-\frac{1}{x}=-f(x)$, thus it is odd.
Step 2. The graph should exhibit a symmetry with respect to the $origin$.
Precalculus (6th Edition)
by Lial, Margaret L.; Hornsby, John; Schneider, David I.; Daniels, Callie
Published by
Pearson
ISBN 10:
013421742X
ISBN 13:
978-0-13421-742-0
Chapter 3 - Polynomial and Rational Functions - 3.5 Rational Functions: Graphs, Applications, and Models - 3.5 Exercises - Page 373: 8
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