Answer
False
Work Step by Step
This statement would generally be $false$.
A good counterexample would be with $$f(x)=0$$ which is the constant function, and this function actually symmetrical that's respective to $x$-axis.
Calculus 10th Edition
by Larson, Ron; Edwards, Bruce H.
Published by
Brooks Cole
ISBN 10:
1-28505-709-0
ISBN 13:
978-1-28505-709-5
Chapter P - P.3 - Linear Models and Rates of Change - Exercises - Page 30: 109
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