SOLUTION: Analyze and graph the function {{{(x^2+x-12)/(x+2)}}}. Please provide the steps I must take in order to solve this.

Question 771271: Analyze and graph the function . Please provide the steps I must take in order to solve this.
Answer by josgarithmetic(39618) (Show Source): You can put this solution on YOUR website!
fully factorable to

Performing polynomial division of the expression in the originally given form, the quotient will be , giving a slant asymptote of . Vertical asymtpote is at becasue the denominator must not be zero (the denominator of the given expression).

Two zeros occur: x=-4, and x=3 are the zeros of the function.

Critical points are x at -4, -2, and 3. These are the intervals along the horizontal axis. ...

What you want to do is test any x value in each interval and find if the function is positive or negative. I omit that part of the analysis, but this is the graph:

OR THIS

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