`g(x)=(x^3-8)/(6-x^2)` Graph the function.

We are asked to graph the function `y=(x^3-8)/(6-x^2) ` :

Factoring the numerator yields:

`y=((x-2)(x^2+2x+4))/(6-x^2) `

There are vertical asymptotes at ` x=+-sqrt(6) ` . The x-intercept is 2 and the y-intercept is -4/3. The slant asymptote is y=-x.

The graph:

Comments

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