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March 27, 2017

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analaze the graph of y = 2/ (x^2-9)

y-intercepts: ____________________
vertical asymptotes: ____________________
horizontal asymptotes: ____________________
increasing intervals: ____________________
decreasing intervals: ____________________
relative maxima: ____________________
relative minima: ____________________
concave up intervals: ____________________
concave down intervals: ____________________
inflection points: ____________________

  • Calc - ,

    no ideas on any of those answers?

    vertical asymptotes where denominator is zero
    horizontal asymptote is y=0, since denominator has higher power

    increasing where y' > 0
    max/min where y' = 0 and y'' not zero
    concave up where y'' > 0
    inflection where y'' = 0

    y' = 4x/(x^2-9)^2
    y'' = 12(x^2 + 3)/(x^2 - 9)^3

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