Question: Consider f(x) = Ax2 + Bx + C with A > 0. Show that f(x) 0 for all x if and only if B2

Consider f(x) = Ax2 + Bx + C with A > 0. Show that f(x) ≥ 0 for all x if and only if B2 - 4AC ≤ 0.

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The graph of f is a parabola which opens up fX 2 Ax B 0 x B2A fx 2A Since A 0 the gra... View full answer

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