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answer the following and explain Goal: To graph functions using the final version of the graphing strategy. Procedure: Graphing Strategy (Final Version) Step 1 Analyze

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answer the following and explain

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Goal: To graph functions using the final version of the graphing strategy. Procedure: Graphing Strategy (Final Version) Step 1 Analyze f(x). a. Find the domain. b . Find the intercepts. C . Find the asymptotes. Step 2 Analyze f'(x). Find the partition numbers for, and the critical values of, f '(x). Determine the intervals on which fis increasing and decreasing, and find the local extrema. Step 3 Analyze f"(x). Find the partition numbers for f"(x). Determine the intervals on which the graph of fis concave upward or downward, and find inflection points. Step 4 Sketch the graph of the function. In Problems 11-16, find the domain and intercepts. 11. f(x) = Vx + 4 12. f(x) = Vx + 25 13. f(x) = 75 - 5x 14. f(x) = 4x + 52 95 15. f(x) = x - 5 102 16. f(x) = x+ 31. Use the graph of fin the figure to identify the following: (A) the intervals on which f'(x) 0 (C) the intervals on which x) is increasing (D) the intervals on which ,(x) is decreasing (E) the x coordinate(s) of the point(s) where x) has a local maximum (F) the x coordinate(s) of the point(s) where J(Jr) has a local minimum (G) the intervals on which f\"(x) 0 (I) the intervals on which the graph of fis concave upward (J) the intervals on which the graph of fis concave down- ward (K) the xeoordinate(s) of the inection point(s) (L) the horizontal asymptote(s) (M) the vertical asymptote(s) Use the procedure above to sketch the graph of the following functions. x4 _ '41 f(X)=m f(x)_(x_3) M) = i :3 x) =1"; 11x) = If: 9

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