Asked by Furzeen
(Graphing Calculator)Sketch the graph of the function
f(x)= 2x^3-7x^2-27x-18/x^2+5
f(x)= 2x^3-7x^2-27x-18/x^2+5
Answers
Answered by
MathMate
Please insert adequate parentheses in the expression.
Answered by
Steve
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
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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