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]}