Math(module 4 Calculus)

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(Graphing Calculator)Sketch the graph of the function
f(x)= 2x^3-7x^2-27x-18/x^2+5

  • Math - ambiguous without parentheses -

    Please insert adequate parentheses in the expression.

  • Math(module 4 Calculus) -

    Well,
    the numerator is (2x+3)(x+1)(x-6)

    so the graph crosses the x-axis at -3/2, -1, and 6

    As x grows large, the curve approaches the line y=2x, but is always slightly below it, since

    2x^3/(x^2+5) < 2x^3/x^2

    The curve crosses the line y=2x at about x = -4.75

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