Which graph represents the function?
f(x)=x^2+5x−6/ x^2−x−6
Graphs:
Thanks so much for your help.
+245 \((x^2 +5x-6 )\over(x^2+x-6)\)
\((x+6)(x-1)\over(x-3)(x+2)\)
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.
