已知函数 f(x)= x 2 +x+4 x ,(x>0) - x 2 -x+4 x ,(x<0). (1)求证:函数f(x)是偶函数; (2)判断并证明函数f(x)在区间(0,2]上的单调性; (3)根据以上结论猜测f(x)在[-2,0)上的单调性,不需要证明.
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