For all x, we define the functions f(x)=x2 , g(x)=−x2+1, p(x)=∣x∣+1. Consider the piecewise function h(x),
h(x)=⎩⎪⎨⎪⎧max(f(x),g(x),p(x)),x≥−10081min(f(x),g(x),p(x)),x<−10081
If h(x) is non-diffentiable at A points and non-continuous at B points, find the value of A+2B.