Which of the following properties is sufficient to conclude that a function is odd?

MATHEMATICS · Single correct · AP · AP Precalculus · Polynomial and Rational Functions · Polynomial and Rational Functions

Problem

Which of the following properties is sufficient to conclude that a function

h

is odd? (a)

h(-x)=h(x)

for every real number

x

(b)

\displaystyle\int_{-a}^{a}h(x)\,dx=0

for all

a>0

(c)

h(-x)=-h(x)

for every real number

x

(d)

h(x)=-h(-x)

only when

x>0