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Grade 12th passAlgebra

How to check that polynomials with ALL odd powers of x are odd and a function with ALL even powers of x is even?
Thank you.

Profile image of Sahil
7 Years agoGrade 12th pass
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1 Answer

Profile image of Arun
7 Years ago
Dear Sahil
 
for
odd function f(-x) = – f(x)
 
in odd degree polynomial when x is replqced by – x then it negative sign comes outside hence it will be an odd function.
 
for even function,
f(-x) = f(x)