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# 5.6E: Funções racionais (exercícios)

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Para os exercícios a seguir, encontre as interceptações e as assíntotas verticais e horizontais e use-as para esboçar um gráfico da função.

31. $$f(x)=\frac{x+2}{x-5}$$

32. $$f(x)=\frac{x^{2}+1}{x^{2}-4}$$

33. $$f(x)=\frac{3 x^{2}-27}{x^{2}+x-2}$$

34. $$f(x)=\frac{x+2}{x^{2}-9}$$

Para os exercícios a seguir, encontre a assíntota inclinada.

35. $$f(x)=\frac{x^{2}-1}{x+2}$$

36. $$f(x)=\frac{2 x^{3}-x^{2}+4}{x^{2}+1}$$