Please provide me a complete, neat, and organized solutions with boxed final answers. Thank you! 5. Let f be a function satisfying the following properties:continuous on R \ {0}• f(-1) = -3• f(0) = 2 and f(1) = 1• lim f(x) = -∞lim f(x) = 2lim [f(x) – (x – 2)] = 0I -00lim f(x) = 0Moreover, the table of signs for f' and f" is given below.|(-∞0, –1) | –1 |(-1,0)f'(x)| f"(x)(0,1)1 (1,+0)und.und.a. Give equations of the three linear asymptotes of the graph of f.b. Determine where is f increasing or decreasing and concave up or concave down. Determine therelative maximum, relative minimum and inflection points of the graph of f (if any).c. Sketch the graph of f with emphasis on concavity. Label all the relative extremum points,and inflection points with their respective coordinates, and the asymptotes with their respectiveequations.с.

a. Here, we have limx→0-fx=-∞, which means the function has a vertical asymptote x=0; limx→+∞fx=0…

5. Let ƒ be a function satisfying the following properties: lim f(r) = 2 continuous on R \ {0} • f(-1) = –3 • f(0) = 2 and f(1) = 1 • lim f(r) = -∞ lim [f(x) – (r – 2)] = 0 lim f(x) =0 Moreover, the table of signs for f' and f" is given below. |(-∞, –1) | –1 | (-1,0) f'(x) f"(x) (0,1) | 1 | (1,+) und. und. a. Give equations of the three linear asymptotes of the graph of f. b. Determine where is ƒ increasing or decreasing and concave up or concave down. Determine the relative maximum, relative minimum and inflection points of the graph of f (if any). c. Sketch the graph of f with emphasis on concavity. Label all the relative extremum points, and inflection points with their respective coordinates, and the asymptotes with their respective equations.

5. Let ƒ be a function satisfying the following properties: lim f(r) = 2 continuous on R \ {0} • f(-1) = –3 • f(0) = 2 and f(1) = 1 • lim f(r) = -∞ lim [f(x) – (r – 2)] = 0 lim f(x) =0 Moreover, the table of signs for f' and f" is given below. |(-∞, –1) | –1 | (-1,0) f'(x) f"(x) (0,1) | 1 | (1,+) und. und. a. Give equations of the three linear asymptotes of the graph of f. b. Determine where is ƒ increasing or decreasing and concave up or concave down. Determine the relative maximum, relative minimum and inflection points of the graph of f (if any). c. Sketch the graph of f with emphasis on concavity. Label all the relative extremum points, and inflection points with their respective coordinates, and the asymptotes with their respective equations.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 93E

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