AP® Calculus AB-BC

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Graph of an Odd Function

APCALC-WYHUXG

Given the graph of the odd function $f(x)$ below, which statement must be true?

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I. $\ \displaystyle\int _{ a }^{ 0 }{ f( x ) dx=\int _{ 0 }^{ b }{ f( x )dx } } $

II. $\ \displaystyle\int _{ a }^{ b }{ f( x ) dx=0 } $

III. $\ \displaystyle\int _{ a }^{ 0 }{ f( x ) dx=-\int _{ 0 }^{ b }{ f( x )dx } } $

A

I only.

B

III only.

C

I and II only.

D

II and III only.