The known function f (x) = - X & # 178; - 2| x | + 3 (1) Write f (x) in the form of piecewise function. (2) write the monotone increasing and decreasing interval of the function. (3) write the range of the function (3) It is pointed out that

The known function f (x) = - X & # 178; - 2| x | + 3 (1) Write f (x) in the form of piecewise function. (2) write the monotone increasing and decreasing interval of the function. (3) write the range of the function (3) It is pointed out that

(1)
f(x)={-x²-2x+3 (x≥0)
{-x²+2x+3 (x