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Which graph represents the function?

 

f(x)=x^2+5x−6/ x^2−x−6

 

Graphs:

 

Thanks so much for your help.

 Mar 11, 2018
 #1
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\((x^2 +5x-6 )\over(x^2+x-6)\)

\((x+6)(x-1)\over(x-3)(x+2)\)

From this factoring, it can be deduced that the function has vertical asymptotes (when the denominator equals 0) at x=3 and x=-2. Also, it can be determined that the function has x-intercepts (when the numerator is zero and the denominator isn't) at x=-6 and x=1. 

 

From this data, it can be concluded that the correct answer is the second graph.

 

P.s. You can never cross a vertical asymptote. 

 Mar 11, 2018

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