005 Sample Final A, Question 20

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Question Consider the following rational function,


     a. What is the domain of f?
     b. What are the x and y-intercepts of f?
     c. What are the vertical and horizontal asymptotes of f, if any? Does f have any holes?
     d. Graph f(x). Make sure to include the information you found above.


Final Answers
a) False. Nothing in the definition of a geometric sequence requires the common ratio to be always positive. For example,
b) False. Linear systems only have a solution if the lines intersect. So y = x and y = x + 1 will never intersect because they are parallel.
c) False. does not have an inverse.
d) True. has multiple solutions.
e) True.
f) False.

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