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Math Help - some graphing help

  1. #1
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    Question algebra and trigonometry with analytic geometry problem

    If f(x)=x(x-1)(x-4)^2, use interval notation to give all values of x where f(x)>0. My answer is (0,1) u (4,infy), thanks for looking it over with me.
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by kwtolley
    If f(x)=x(x-1)(x-4)^2, use interval notation to give all values of x where f(x)>0. My answer is (0,1) u (4,infy), thanks for looking it over with me.
    f(x) \to +\infty as x \to \pm \infty, and its roots are 0,1,4, with the last having a multiplicity of 2 (and so the function just touches the x-axis at x=4. So f(x)>0 in:

    (-\infty,0) \cup (1,4) \cup (4,\infty)

    RonL
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  3. #3
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    Smile answer

    thanks for looking at the problem. that really helped me
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