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# Which graph represents the function?

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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+0 Answers

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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