Form into a single rational expression and look to see if any roots.
, excuse for combining steps.
A root at
Notice numerator and denominator are of equal degree. Think about what happens for x unbounded to the left and to the right.....
.... HORIZONTAL asymptote will be .
How to graph:
Root at x=-29/16;
Vertical asymptote x=-2;
Horizontal asymptote y=8.
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Check signs around the critical x values of -2 and -29/16.