At present I know that, a constant function is an EVEN function.
But my teacher said that if a constant function has value $0$ then it is both EVEN and ODD.
I just want to verify this and want know the reason for this.
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3It's both; check the definitions – J. W. Tanner Jul 07 '21 at 14:04
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1check for yourself. if $f(x)=0$ for all $x$, then what can you say about $f(-x)$? $-f(x)$? why does this fail for the constant function $g(x)=1$? – C Squared Jul 07 '21 at 14:04
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1@José Carlos Santos Yes thank you... – Mridul Kumar Jul 07 '21 at 14:07
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It's even because $0 = f(x) = f(-x) = 0$, and it's odd because $0 = -0 = -f(x) = f(-x) = 0$. So it's both!
David
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