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MAT 102

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What is the domain of "p" when p(x)=x squared-2x+4

  • MAT 102 -

    write exponents this way:

    p(x) = x^2 - 2x + 4

    since "p" is the dependent variable, we usually use the word "range" instead of domain.
    Domain would be your choice of the independent variable, that is, the x in this case.

    anyway...
    the x of the vertex is -b/(2a) for f(x) = ax^2 + bx + c

    so the x of the vertex is 2/2 = 1
    p(1) = 1-2+4 = 3

    so the range of the function is p(x) ≥ 3

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