`y=8/(x^2-x-6)` Graph the function.

We are asked to graph the function `y=(8)/(x^2-x-6) ` :

Factoring the denominator yields:

`y=8/((x-3)(x+2)) `

There are vertical asymptotes at x=-2 and x=3. Since the degree of the denominator is greater than the degree of the numerator, the horizontal asymptote is y=0.

The y-intercept is -4/3.

The graph:

We are asked to graph the function `y=(8)/(x^2-x-6) ` :

Factoring the denominator yields:

`y=8/((x-3)(x+2)) `

There are vertical asymptotes at x=-2 and x=3. Since the degree of the denominator is greater than the degree of the numerator, the horizontal asymptote is y=0.

The y-intercept is -4/3.

The graph: