Consider the following rational function: q(x)=4(x-1)(x+2)/2(x+1)(x-3)=4x^2+4x-8/2x^2-4x-6 Find the domain, x-intercepts, y-intercepts, horizontal asymptotes, and vertical asymptotes. (Use two letter o's for infinity and a minus sign then two letter o's for negative infinity) The domain is (,)U(,)U(,). The x-intercepts are: (,0), (.0). (Smallest first.) The y-intercept is: (0,). (Do no round, if it is a fraction type as 1/2). The horizontal asymptote(s) are/is:   . (Type in the equation of the asymptote.) The vertical asymptote(s) are/is: . (Type in the equation(s) of the asymptote(s), separate by a comma if more than one. (Smallest number first.)).

Question

Consider the following rational function:

q(x)=4(x-1)(x+2)/2(x+1)(x-3)=4x^2+4x-8/2x^2-4x-6

Find the domain, x-intercepts, y-intercepts, horizontal asymptotes, and vertical asymptotes. (Use two letter o's for infinity and a minus sign then two letter o's for negative infinity)

  1. The domain is (,)U(,)U(,).
  2. The x-intercepts are: (,0), (.0). (Smallest first.)
  3. The y-intercept is: (0,). (Do no round, if it is a fraction type as 1/2).
  4. The horizontal asymptote(s) are/is:   . (Type in the equation of the asymptote.)
  5. The vertical asymptote(s) are/is: . (Type in the equation(s) of the asymptote(s), separate by a comma if more than one. (Smallest number first.)).

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