(1)当x<0时,-x>0,则f(-x)=(-x)2-2(-x)-1=x2+2x-1,∵f(x)是偶函数,∴f(x)=f(-x)=x2+2x-1,∴f(x)= x2?2x?1, x≥0 x2+2x?1, x<0 .(2)函数f(x)的简图:(3)单调增区间为[-1,0]和[1,+∞),单调减区间为(-∞,-1]和[0,1],当x=1或-1时,f(x)有最小值-2.