Thread: Sketching graph of y =(x^3-2x^2-10x-1)/(x^2-2x-15)

Sketch the graph of the following.




Any help would be appreciated!

Originally Posted by Joker37

Sketch the graph of the following.



Any help would be appreciated!

You can write it like those too to help you:



You know that there are two vertical asymptotes at x = 5 and x = -3, then the graph also tends to the line y = x as x becomes large.

Since there are two asymptotes, the graph is in three parts and as similar graphs, the central part is fairly similar to the numerator, that is a cubic.

Now what you can do is try out what is the value of y slightly to the left and slightly to the right of the asymptotes to know the shape of the graph, whether it's ascending or descending.