Questions
Which of the following functions is an odd
function
a
y=x4−2x2
b
y=x−x2
c
y=cosx
d
y=x−x36+x540
detailed solution
Correct option is D
If f(x)=x4−2x2 then f(−x)=(−x)4−2(−x)2=x4−2x2=f(x).Hence f is an even function. If u(x)=x−x2then u(−x)=x−x2 so u is neither even nor an odd functionp(x)=cbsx,p(−x)=cos(−x)=cosx=p(x) so p is evenfunction. If s(x)=x−x36+x540 thens(−x)=−x−x36−x540=−x−x36+x540=−s(x) so s is an odd functionTalk to our academic expert!
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