Answer
Transcendental
Work Step by Step
We have $f(x)=2^{x^2}$
Although the exponent ($x^2$) is a polynomial, the exponential function is not. Thus, $ f(x) $ is transcendental.
Calculus (3rd Edition)
by Rogawski, Jon; Adams, Colin
Published by
W. H. Freeman
ISBN 10:
1464125260
ISBN 13:
978-1-46412-526-3
Chapter 1 - Precalculus Review - 1.3 The Basic Classes of Functions - Exercises - Page 23: 25
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