Question

若偶函数y=f(x)是最小正周期为2的周期函数,且当2<=x<=3 f(x)=x 则当-2<=x<=0 f(x)的表达式是

若偶函数y=f(x)是最小正周期为2的周期函数,且当2<=x<=3 f(x)=x 则当-2<=x<=0 f(x)的表达式是

Answer 1

偶函数y=f(x)是最小正周期为2的周期函数 f(x+2)=f(x)
当2<=x<=3 f(x)= x
当0<=x<=1 f(x)= x+2
f(x)=f(-x);
当-1<=x<=0 f(x)=2-x
当-2<=x<=-1 f(x)=f(x+2)=x+4