Math(module 4 Calculus)
posted by Furzeen on .
(Graphing Calculator)Sketch the graph of the function
f(x)= 2x^37x^227x18/x^2+5

Please insert adequate parentheses in the expression.

Well,
the numerator is (2x+3)(x+1)(x6)
so the graph crosses the xaxis 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