Answer
Odd, origin
Work Step by Step
$f(x) = x\sqrt {1-x^2}$
$f(-x) = -x\sqrt {1-(-x)^2}= - x\sqrt {1-x^2} = -f(x)$
Hence it is an odd function and hence symmetric about the origin.
Algebra and Trigonometry 10th Edition
by Larson, Ron
Published by
Cengage Learning
ISBN 10:
9781337271172
ISBN 13:
978-1-33727-117-2
Chapter 2 - 2.3 - Analyzing Graphs of Functions - 2.3 Exercises - Page 196: 74
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