Functions Question 648

Question: Range of the function $ f(x)={{\sin }^{2}}(x^{4})+{{\cos }^{2}}(x^{4}) $ is

Options:

A) $ (-\infty ,\ \infty ) $

B) {1}

C) (?1, 1)

D) (0, 1)

Show Answer

Answer:

Correct Answer: B

Solution:

$ f(x)={{\sin }^{2}}(x^{4})+{{\cos }^{2}}(x^{4})=1 $ . Hence range $ ={ 1 }. $