Posted by **Furzeen** on Tuesday, November 29, 2011 at 7:49pm.

(Graphing Calculator)Sketch the graph of the function

f(x)= 2x^3-7x^2-27x-18/x^2+5

- Math - ambiguous without parentheses -
**MathMate**, Tuesday, November 29, 2011 at 9:11pm
Please insert adequate parentheses in the expression.

- Math(module 4 Calculus) -
**Steve**, Wednesday, November 30, 2011 at 12:27am
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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