Hi

Could someone please show me how to do question 1 (b)???

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- Apr 3rd 2010, 12:54 AMxwrathbringerxCurve Sketching
Hi

Could someone please show me how to do question 1 (b)??? - Apr 3rd 2010, 01:48 AMHallsofIvy
1a) asks you to graph $\displaystyle y= \frac{x^3}{x^2- 1}$ which is equivalent to $\displaystyle y(x^2- 1)= yx^2- y= x^3$. That, in turn, is the same as $\displaystyle x^3- yx^2+ y= 0$. The number of solutions to $\displaystyle x^3- kx^2+ k= 0$ is just the number of times that graph crosses the horizontal line y= k.