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2 3x Summarize the pertinent information obtained by applying the graphing strategy and sketch the graph of f(x)= =6 ¥ . There are no horizontal asymptotes. Find any vertical asymptotes of f(x). Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. ¥ . The function has one vertical asymptote, x=6 . (Type an equation.) The function has two vertical asymptotes. The leftmost asymptote is and the rightmost asymptote is (Type equations.) There are no vertical asymptotes. Find the intervals where f(x) is increasing or decreasing. Select the correct choice below and fill in the answer box(es) to complete your choice. The function is increasingon . It is never decreasing. (Type your answer in interval notation. Use a comma to separate answers as needed.) The function is increasing on (- 0,0),(12,00) . It is decreasing on (0,6),(6,12) . (Type your answers in interval notation. Use a comma to separate answers as needed.) The function is decreasingon . Itis never increasing. (Type your answer in interval notation. Use a comma to separate answers as needed.) Find the location of any local extrema of f(x). Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. There is a local maximum at x= . There is no local minimum. (Type an integer or a decimal. Use a comma to separate answers as needed.) There is a local minimum atx= . There is no local maximum. (Type an integer or a decimal. Use a comma to separate answers as needed.) There is a local maximum at x= 0 and there is a local minimum atx= 12 . (Type integers or decimals. Use a comma to separate answers as needed.) There are no local extrema. Find the intervals where f(x) is concave upward or downward. Select the correct choice below and fill in the answer box(es) to complete your choice.
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