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Sketch the graph of the following function. State where any intercepts occur, where asymptotes occur, where any relative extrema occur, where the function is
Sketch the graph of the following function. State where any intercepts occur, where asymptotes occur, where any relative extrema occur, where the function is increasing or decreasing, where any inflection points occur, and where the graph is concave up or concave down. f(x)= Determine the x-intercept(s). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. (Simplify your answer. Type an ordered pair. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) OB. There are no x-intercepts. Determine the y-intercept(s). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. (Simplify your answer. Type an ordered pair. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) B. There are no y-intercepts. Determine the vertical asymptote(s). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. x= (Simplify your answer. Use a comma to separate answers as needed.) OB. There are no vertical asymptotes. Determine the horizontal asymptote(s). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. y= (Simplify your answer. Use a comma to separate answers as needed.) OB. There are no horizontal asymptotes. Determine the slant asymptote(s). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. y (Simplify your answer. Use a comma to separate answers as needed.) B. There are no slant asymptotes. Determine the coordinates of the relative extrema. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. (Simplify your answer. Type an ordered pair. Use a comma to separate answers as needed.) OB. There are no relative extrema. On what interval(s) is f increasing and on what interval(s) is f decreasing? A. fis increasing on (-, -6). f is decreasing on (-6,00). B. fis increasing on (-00.00). f is never decreasing. C. fis increasing on (-, -6) and (-6,00). f is never decreasing. OD. f is never increasing. f is decreasing on (-o.-6) and (-6,00). E. f is increasing on (-6,00). f is decreasing on (-, -6). F. f is never increasing. f is decreasing on (-00.00). Determine the coordinates of the inflection point(s). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. (Simplify your answer. Type an ordered pair. Use a comma to separate answers as needed.) OB. There are no inflection points. On what interval(s) is f concave up and on what interval(s) is f concave down? A. fis concave up on (-, -6). f is concave down on (-6,00). B. f is concave up on (-00,00). f is never concave down. C. f is never concave up. f is concave down on (-o.-6) and (-6,00). D. f is never concave up. f is concave down on (-00,00). E. f is concave up on (-, -6) and (-6,00). f is never concave down. F. f is concave up on (-6,00). f is concave down on (-, -6). Choose the correct graph below. O A. G OB. G O C. 2 O D. G
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