# How do you graph #y=6/(x^2+3)#?

##### 1 Answer

See below.

#### Explanation:

First find significant points, these will help in sketching the graph.

y axis intercepts occur when

x axis intercepts occur when

This can only be zero when denominator is zero, which is undefined, so no x axis intercepts.

as

as

So the x axis is a horizontal asymptote.

Vertical asymptotes occur where the function is undefined:

( this is the y axis intercept that was previously found )

Graph:

graph{y=6/(x^2+3) [-10, 10, -5, 5]}