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性质若函数f(x)是偶函数,对于它的定义域内任取一个数x,都有f(-x)=f(x)=f(|x|)=f(-|x|).1.解不等式例1设偶函数f(x)满足f(x)=x3-8(x≥0),则{x|f(x-2)>0}=()(A){x|x<-2或x>4}.(B){x|x<0或x>4}.(C){x|x<0或x>6}.(D){x|x<-2或x>2}.
Properties If the function f (x) is an even function, f (-x) = f (x) = f (- | x |) for any number x in its domain. 1. Solution inequality Example 1 Let {x | f (x-2)> 0} = () (x) be the even function f (x) satisfying f (x) = x3-8 (x≥0) (B) {x | x <0 or x> 4} (C) {x | x <0 or x> 6} Or x> 2}.