A) an even function
B) an odd function
C) neither even nor odd
D) None of these
Correct Answer: B
Solution :
\[f(x)=(\sin \,{{x}^{7}}){{e}^{{{x}^{5}}sgn \,{{x}^{9}}}}\] \[\sin \,\,{{x}^{7}}\to odd,\] \[sgn {{x}^{9}}\to odd,\] \[{{x}^{5}}\to odd\] \[\therefore \,\,{{e}^{{{x}^{5}}sgn {{x}^{9}}}}\to even\] \[\therefore \,\,f(x)=odd\times even=odd\]
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