SEVEN. x=7
x^2 -14x + 3
take the derivative and set equal to zero
2x -14 = 0
x = 7
(7)^2 -14(7) + 3 = 49-98+3 = -46 = local & global, absolute minimum. It's the vertex (7,-46)
x^2 -14x + 3 = 0
complete the square
x^2 -14x + 49 = -3+49 = 46
(x-7)^2 = 46
x-7 = + or - sqr46
x = 7 + or - sqr46 = about 0.2 or 13.8= x intercepts. y intercept = 3 (0,3)
axis of symmetry is x=7.
lucky 7 is where the absolute minimum is: (7,-46), there is no local or global maximum. the range is [-46,+infinity) no limit to how high you can go. It just goes forever higher & higher.