# How do you graph #f(x)=(2x^2)/(x-3)# using holes, vertical and horizontal asymptotes, x and y intercepts?

##### 1 Answer

Let's find the holes of this formula. A hole means that the same factor is in the numerator as denominator and they divide out. Such as

In our case of

Vertical asymptotes occur when we try to divide a value by

So, there is a vertical asymptote at

Now let's see about the Horizontal asymptote.

I like to use this to help me remember:

BOBO - Bigger on bottom, y=0

BOTN - Bigger on top, none

EATS DC - Exponents are the same, divide coefficients

So in our case, the numerator (top) has a greater exponent (bigger). So there is no Horizontal asmptote (BOTN)

Now let's find the

The

Now we have all the information we need

To check our answers, let's graph the equation

graph{y=(2x^2)/(x-3)}

We have an

Our math is correct. Good job