Study question about Curve Sketching.

**Skor** · January 17th 2007, 05:08 PM

Ok so I have a test on curve sketching coming up, and I can't seem to get around how to do this question.

It says

Sketch the curve for the function y= (x^2+11x-22) / x^2
Include intercepts, extreme values, points of inflections and any other significant details.

When I start taking the derivative and expanding, I get some funky answers, its hard to see what im doing wrong.

**ThePerfectHacker** · January 17th 2007, 05:16 PM

Originally Posted by Skor

Ok so I have a test on curve sketching coming up, and I can't seem to get around how to do this question.

It says

Sketch the curve for the function y= (x^2+11x-22) / x^2
Include intercepts, extreme values, points of inflections and any other significant details.

When I start taking the derivative and expanding, I get some funky answers, its hard to see what im doing wrong.

Let me give you a hint that will help you a lot.

$\frac{x^2+11x-22}{x^2}=\frac{x^2}{x^2}+\frac{11x}{x^2}-\frac{22}{x^2}=1+\frac{11}{x}-\frac{22}{x^2}=1+11x^{-1}-22x^{-2}$
Thus, now taking the derivative is incredible simple.