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Math Help - f(x) = x^2 -3x + 2

  1. #1
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    f(x) = x^2 -3x + 2

    The subset of real numbers x for which f(x) = x^2 -3x + 2 assumes negative values is an open interval of the form (a,b). Express a and b as integers.
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  2. #2
    Senior Member apcalculus's Avatar
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    Quote Originally Posted by yoman360 View Post
    The subset of real numbers x for which f(x) = x^2 -3x + 2 assumes negative values is an open interval of the form (a,b). Express a and b as integers.
    Factoring this function, we get f(x) = (x-1) (x-2), a parabola that opens upward and passes through x=1 and x=2. The lower portion of the parabola that is below the horizontal axis (negative values) is the part of the curve for x values between 1 and 2, so the open interval is (1, 2).
    Good luck!!
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