# How do you graph the rational function #f(x)=6/(x^2+x-2)#?

##### 1 Answer

I would factorize the denominator solving the second degree equation to get:

This helps you to "see" the forbidden points, i.e., the points where the denominator becomes zero (you do not want this!!!).

They are:

Excluding these two values of

You can now try to figure out the shape of your graph:

1) for x very big positively or negatively your function gets very small or, better, tends to zero (try to substitute in your function, say,

2) getting near to -2 your function gets very big positively (from the left) and negatively (from the right). You can try it by substituting

3) setting

At the end your graph looks like:

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

hope it helps