SOLUTION: Graph the function. Label all asymptotes. list the domain and x and y intercepts f(x)=x^2+x-6 / x^2-x-20

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Question 1057494: Graph the function. Label all asymptotes. list the domain and x and y intercepts
f(x)=x^2+x-6 / x^2-x-20
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Degree of numerator and denominator are equal, so graph has a horizontal asymptote. That asymptote is y=1.

y-intercepts:
Let x=0.
f%280%29=%28-6%29%2F%28-20%29=3%2F10
(0, 0.3).

Other asymptotes?
f%28x%29=%28%28x-2%29%28x%2B3%29%29%2F%28%28x%2B4%29%28x-5%29%29-------no common factors.
system%28x=-4%2Cx=5%29--------vertical asymptotes, because f(x) undefined for those.

x-intercepts: system%28x=2%2Cx=-3%29

DOMAIN: All real numbers NOT x=-4, and NOT x=5.