# How do you graph #y=(3x^2)/(x^2-25)# using asymptotes, intercepts, end behavior?

##### 1 Answer

Jan 25, 2017

No intercepts. Yet, origin is a point on the graph.

Horizontal asymptote :

Vertical asymptote :

#### Explanation:

x-intercept ( y = 0 ) : 0, giving origin as a point on the graph.

y-intercept ( x = 0 ): 0

By actual division,

The asymptotes are given by

An asymptotes-inclusive Socratic graph is inserted.

graph{(3x^2/(x^2-25)-y)(y-3)(x-5+.01y)(x+5+.01y)=0 [-40, 40, -20, 20]}