Question

Consider the function f(x)=(x^2+x-12)/(x-3).Describe the graph of this function. Include all discontinuities, intercepts, and the basic shape of the graph.

Answer 1

Notice that
\[\frac{x^2+x-12}{x-3}=\frac{(x-3)
(x+4)}{x-3}=x+4

\]
Can you finish it?

Answer 2

disc = -4?
x int = (3,-4)?
y int = 3?
basic shape = ellipse?

Answer 3

or did i mess it all up.