Trigonometric Identities Question 230
Question: $ f(x)=(\sin ,x^{7}).{e^{x^{5},sgn x^{9}}} $ is
Options:
A) an even function
B) an odd function
C) neither even nor odd
D) None of these
Show Answer
Answer:
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}\text{sgn}(x^{9})}}\to even $
$ \therefore f(x)=odd\times even=odd $
BETA
