The range of the function y = SiNx + 3cosx, X ∈ [- 2, π 3, π 3] is______ ．

Y = SiNx + 3cosx = 2Sin (x + π 3), if x ∈ [- 2 π 3, π 3], then x + π 3 ∈ [- π 3, 2 π 3], then - 32 ≤ sin (x + π 3) ≤ 1, that is − 3 ≤ 2Sin (x + π 3) ≤ 2, the value range of the function is [- 3, 2], so the answer is: [- 3, 2]

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