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Math Help - Function question

  1. #1
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    Function question

    I can't solve this so I hope that you could help me

    f(x)=(2x-3)(x-2) What are the values of x which make the function increasing?
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  2. #2
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    You need to find the axis of symmetry. This is halfway between the zeros.

    As this function is a positive quadratic all values to the right of this value have the function increasing.
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  3. #3
    Member pflo's Avatar
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    Quote Originally Posted by WendyM View Post
    f(x) = (2x-3) (x-2) What are the values of x which make the function increasing?
    If you multiply this out you get f(x) = 2x^{2} - 7x + 6. Hopefully you recognize that this quadratic function would graph as a parabola opening upward. It would therefore be increasing everywhere that x is larger than the axis of symmetry (the x coordinate of the vertex).
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