Answer
$ f(x)=3^{-x^2}$ is contiuous on $ R $.
Work Step by Step
Since ${x^2}$ is defined for all $ x\in R $ and continuous, then by using the continuity laws $ f(x)=3^{-x^2}$ is continuous on $ R $.
Calculus (3rd Edition)
by Rogawski, Jon; Adams, Colin
Published by
W. H. Freeman
ISBN 10:
1464125260
ISBN 13:
978-1-46412-526-3
Chapter 2 - Limits - 2.4 Limits and Continuity - Exercises - Page 67: 46
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