Unformatted text preview: 12 7 6 ) ( 2 2 + +--= x x x x x f , and answer the following questions: a) Find the vertical asymptotes, if any. b) Find the x & y intercepts. b) As the value of x gets infinitely large or infinitely small (negative), what value of f(x) will the graph approach? *** EXTRA CREDIT *** (+2 points, all-or-nothing) Give an example of a rational function that has a horizontal asymptote at x = - 2, and no vertical asymptote. There are many possible answers. HINT: Think about how you find the vertical asymptotes in such a function....
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- Fall '08
- Limit of a function, Asymptotic curve