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calculus (PLEASE HELP!)

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f(x)=((x+1)^3)-2

1. Describe the long term behavior of this function. Give the power function that f resembles.

2. Determine the number of turning points f has.

  • calculus (PLEASE HELP!) -

    Looks like 1/x^6
    f(x) = (x+1)^-6
    f' (x) = -6 (x+1)^-7 = -6/(x+1)^7
    this is undefined at x = -1, goes to zero for large + or - x, changes sign at x = -1

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