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Decreasing increasing funtion

  1. Aug 6, 2013 #1
    Hello everyone,
    Can you please show me how to 'determine weather this funtion -3[(x-3)^2-9] is increasing or decreasing on the the domain [0,6]
    Thanks in advance .
  2. jcsd
  3. Aug 6, 2013 #2


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    Gold Member

    Do a rough plot and look.

    Take the derivative and see is it positve or negative.
  4. Aug 6, 2013 #3


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    Science Advisor

    y= -3x^2+ 9 is a parabola with vertex at (0, 9), opening downward. It is increasing for x< 0 and decreasing for x> 0. Do you see how that answers your question?
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