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Math Help - Graphical Analysis

  1. #1
    Newbie
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    Post Graphical Analysis

    I need some help with these 2 questions, thank you

    a) For this case, sketch the graph of a continuous function f(x) such that
    f(0)=0, f"(x)>0 for x<0, f"(x)< 0 for x>o, lim f'(x)= +infinity (x approaches 0-) and lim f'(x)= +infinity (appraches 0+)
    what would the graph look like?

    b) For what real number values of 'p' does the equation
    p= 3x-9 have 2 real solutions (algebraically)
    x2-x-2
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by Tokyotower View Post
    I need some help with these 2 questions, thank you

    a) For this case, sketch the graph of a continuous function f(x) such that
    f(0)=0, f"(x)>0 for x<0, f"(x)< 0 for x>o, lim f'(x)= +infinity (x approaches 0-) and lim f'(x)= +infinity (appraches 0+)
    what would the graph look like?
    f(0)=0 and \lim_{x \to 0_-} f'(x)= +\infty and \lim_{x \to 0_+} f'(x)= +\infty should tell you that the curve has a cusp at x=0.

    The other conditions tell you that the slope is increasing when x is negative and decreasing when x is positive.

    CB
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