# Chapter 2 - 2.3 - Analyzing Graphs of Functions - 2.3 Exercises - Page 196: 74

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.

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