Answer
Transcendental
Work Step by Step
We see that $ f(x)=\sin x^2$ and includes a trigonometric function. Thus $ f(x) $ is not algebraic but rather transcendental (a non-algebraic non-polynomial function).
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: 21
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