Question

f(x)是奇函数, F(x)=|f(x)|+f(|x|)的对称轴是

Answer 1

f(x)是奇函数,所以f(-x)=-f(x)

F(-x)=|f(-x)|+f(|-x|)

=|-f(x)|+f(|x|)

=|f(x)|+f(|x|)

=F(x)

所以F(x)是偶函数,其对称轴是y轴