

(9 points) Give the graph of one and only one function which satisfies all the following...
7) (9 points) Sketch the graph of a function f(x) having the following given characteristics. Domain of f(x)= (-0,-5) U (-5,0) lim f(x)=–00, and lim f(x)=0 lim f(x) = 3 5 x-00 /'(x) >0 on (-00,-5) U (-5,0) / '(x) < 0on (0,0) /"(x) > 0 on (- 0,-5) /"(x) <0 on (-5,0) f(x) > 3 on (-0, -5) f(x) > 0 on (-3,3) f(x) <0 on (-5, -3) U (3,0) 8
1. (6) Sketch the graph f a function f that satisfies all of the given conditions. lim )3, im ()5, lim , lim+ =-oo.lim2--5, f is continuous from the left at x--1. 2
1. (6) Sketch the graph f a function f that satisfies all of the given conditions. lim )3, im ()5, lim , lim+ =-oo.lim2--5, f is continuous from the left at x--1. 2
please explain each step, give all the reasoning, don’t just
give the graph, I have already gotten the graph
1. Sketch the graph of the function that satisfies all the given conditions. (a) f"()>0 on (-0, -4) and (4,oo); f"(x) <0 on (-4,0) and (0,4); lim f()2, lim f(r) -2 ェ→00 (b) f(x) c0 on (-o,-3) and (0, 0) ()>0 on-3,0) f"(z) < 0 on (-00 ,-), f"(z) > 0 on (- 0) and (0,00) f,() = 0, f(-2)--21, f(0)...
12. (20 points) Sketch the graph of the function f(x) which satisfies the following conditions. Using interval notation list all intervals where the function fis decreasing, increasing, concave up, and concave down. List the x-coordinates of all local maxima and minima, and points of inflection Show asymptotes with dashed lines and give their equations. Label all important points on the graph. a. f(x) is defined for all real numbers 2x b. f(x) = -1 2 c. f'(x) - d. f(2)...
7) (9 points) Sketch the graph of a function f(x) having the following given characteristics. Domain of f(x)=(-0,-5) U (-5,00) lim S(x) = -, and lim f(x) = 0 lim f(x) = 3 S'(x) >0 on (-00,-5) U (-5,0) f'(x) <0 on (0,0) "(x) > 0 on (- , - 5) f"(x) <0 on (-5,00) f(x) > 3 on (-0,-5) f(x) > 0 on (-3,3) f(x) <0 on (-5, -3) U (3,0)
12. (20 points) Sketch the graph of the function f(x) which satisfies the following conditions. Using interval notation list all intervals where the function f is decreasing, increasing, concave up, and concave down. List the x-coordinates of all local maxima and minima, and points of inflection Show asymptotes with dashed lines and give their equations. Label all important points on the graph. -1 2 a. f(x) is defined for all real numbers 2x b. f'(x) = c. f"(x) = (x-1)...
Math 180 Exam 3 (Question 7)
7) (9 points) Sketch the graph of a function f(x) having the following given characteristics. Domain of f(x)=(-0,-5)U(-5,00) lim S(x)=-, and lim f(x)=0 lim f(x) = 3 X-00 F'(x) > 0 on (- 0,- 5) U(-5,0) f'(x) < 0on (0,0) F"(x) > 0 on (0, -5) "(x) <0 on (-5,0) f(x) >3 on (-0,-5) f(x) > 0 on (-3,3) f(x) < 0 on (- 5. - 3) U (3,-)
12. (20 points) Sketch the graph of the function f(x) which satisfies the following conditions. Using interval notation list all intervals where the function f is decreasing, increasing, concave up, and concave down. List the x-coordinates of all local maxima and minima, and points of inflection. Show asymptotes with dashed lines and give their equations. Label all important points on the graph. 2x X-1 2. a. f(x) is defined for all real numbers b. f'(x) = c. f"(x) = (x-1)2...
(20 points) Sketch the graph of the function f(x) which satisfies the following conditions. Using interval notation list all intervals where the function fis decreasing, increasing, concave up, and concave down List the x-coordinates of all local maxima and minima, and points of inflection. Show asymptotes with dashed lines and give their equations. Label all important points on the graph. 1 a f(x) is defined for all real numbers b. f'(x) = c. f"(x) = (x-1) d. f(2)= 2 e...
9. [4 pts] Sketch a graph of a function that satisfies the following conditions lim f(x) = -0, lim f(x) = 0 and lim f(x) = 2. Answer the following questions based on your graph a. Find all the vertical asymptotes of f(x) if it exists. b. Find the horizontal asymptotes of f(x) if it exists.