f(x) = -x^6+3*x^4-3*x^2+1

[Maple Plot]

matrix([[`x points above:`, -1.000, -.4472, 0., .4472, 1.], [`a zero of f ?`, __, __, __, __, __], [`x-inter of f ?`, __, __, __, __, __], [`a zero of f ' ?`, __, __, __, __, __], [`x-bump of f ?`, __,...