# possible other choices: |f(|x|)|, f(|x+1|), etc.

flist1=f(|x|),|f(x)|
xlist1=abs(x),x
ylist1=f,abs(f)

flist2=f(|x|),|f(x)|,-f(|x|),|f(-x)|
xlist2=abs(x),x,abs(x),(-x)
ylist2=f,abs(f),-f,abs(f)

flist3=f(|x|),|f(x)|,f(-|x|),-|f(x)|
xlist3=abs(x),x,(-abs(x)),x
ylist3=f,abs(f),f,-abs(f)

flist4=f(|x|),|f(x)|,-f(|x|),|f(-x)|,  f(-|x|),-|f(x)|, -f(-|x|),-|f(-x)|
xlist4=abs(x),     x, abs(x),   (-x),(-abs(x)),      x,(-abs(x)),(-x)
ylist4=f,     abs(f),     -f, abs(f),        f,-abs(f),       -f,-abs(f)

flist5=f(|x|),|f(x)|,f(|x|)+1,f(|x|)-1,|f(x)|+1,|f(x)|-1,|f(x)+1|,|f(x)-1|
xlist5=abs(x),     x,  abs(x),  abs(x),       x,       x,       x,       x
ylist5=     f,abs(f),     f+1,     f-1,abs(f)+1,abs(f)-1,abs(f+1),abs(f-1)


