Q. 21

Mark the correct alternative in the following:

The function f : R R is defined by f(x) = cos2 x + sin4 x. Then, f(R) =

A. [3/4, 1)

B. (3/4, 1]

C. [3/4, 1]

D. (3/4, 1)

Answer :

f(x)=sin4 x+1-sin2 x

Minimum value of f(x)=3/4

0≤sin2 x1

So, maximum value of


R(f)=[3/4, 1]

Answer is C.

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