Show, by considering its minimum, that (x) = x 2 2x + 3 takes on only
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Show, by considering its minimum, that ƒ(x) = x2 − 2x + 3 takes on only positive values. More generally, find the conditions on r and s under which the quadratic function ƒ(x) = x2 + rx + s takes on only positive values. Give examples of r and s for which f takes on both positive and negative values.
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Observe that fx x 2x 3 x 1 2 0 for all x Let f...View the full answer
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