Suppose that f(x)=(3x^2+6x−45)/(x^2−11x+18) The function f can be written in factored form as f(x)=3(x+5)(x−3)/(x−9)(x−2). Provide the location of any holes/removable discontinuities. [If there are none, enter "DNE".]   Provide the locations of any vertical asymptotes. [If there is more than one, enter your answer as a comma-separated list. If there are none, enter "DNE".]   Determine the value of the vertical intercept.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
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Suppose that f(x)=(3x^2+6x−45)/(x^2−11x+18) The function f can be written in factored form as f(x)=3(x+5)(x−3)/(x−9)(x−2).

  1. Provide the location of any holes/removable discontinuities. [If there are none, enter "DNE".]

     

  2. Provide the locations of any vertical asymptotes. [If there is more than one, enter your answer as a comma-separated list. If there are none, enter "DNE".]

     

  3. Determine the value of the vertical intercept.
  4. List all of the horizontal intercepts. [If there is more than one, enter your answer as a comma-separated list.]
  5. What is the function's end behavior?
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