Comprehension Passage

Direction : Consider the following for the items that follow :

Let f(x) = cos2x + x on [-π/2, π/2]. 

What is the least value of f(x)? 

1
\(-\left(1+\frac{\pi}{2}\right)\)
2
\(-\left(\frac{1}{2}+\frac{\pi}{2}\right)\)
3
\(-\left(1+\frac{\pi}{4}\right)\)
4
\(-2\left(\frac{1}{2}-\frac{\pi}{4}\right)\)

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