Find the range of f(x)=sin(x)+cos(x)f(x) = \sin(x) + \cos(x)f(x)=sin(x)+cos(x).
[−2,2][-\sqrt{2}, \sqrt{2}][−2,2]
[−1,1][-1, 1][−1,1]
[−2,2][-2, 2][−2,2]
[0,2][0, \sqrt{2}][0,2]