Answer
False.
Work Step by Step
At $x=0$, the function is equal to $f(0)=\frac{1}{0}$, which is undefined. Therefore, $f(0)$ doesn't exist and the function cannot pass through (0,0), the origin.
Functions Modeling Change: A Preparation for Calculus, 5th Edition
by Connally, Eric; Hughes-Hallett, Deborah; Gleason, Andrew M.; Cheifetz, Phil C.
Published by
Wiley
ISBN 10:
1118583191
ISBN 13:
978-1-11858-319-7
Chapter 11 - Polynomial and Rational Functions - Strengthen Your Understanding - Page 489: 6
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