9. [4 pts] Sketch a graph of a function that satisfies the following conditions lim f(x)...
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)...
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
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...
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)...
Sketch the graph of a function g that satisfies the given conditions Problem 7. Sketch the graph of a function g that satisfies the siven conditions a. Iin, g(z)=4 b, g(-6)=2 d, lim g(z)=4 e, lim g()-2 -40 lim olr) exists, but g is not continious at 4 10 g is continnons at r6 Problem 8 (Bonns). Show that at this moment there are two places on opposite sides of the earth where the temperature is exactly the same Problem...
(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...
17. Sketch the graph of an example of a function f that satisfies all of the given conditions. f(0) = 0, f(1) = 1, lim f(x) = 0, fis odd 1400 18. Sketch the graph of an example of a function f that satisfies all of the given conditions. lim, f(x) = 00, lim f(x) = 3, lim f(x) -3 2-2 29-00 100 19. Evaluate the limit and justify each step by indicating theappropriate properties of limits. 3.x2 - X+4....
8. Sketch the graph of an example of f that satisfies all of the given conditions. Draw any asymptotes. • Domain (-0, -2) (-2,2) U (2,00) • lim f(x) = 0 and lim f(x) = 0 • lim f(1) = 00, lim f() = -20, lim f(t) = -00, lim f(x) = 0 f'(x) > 0 on (-2,-2) and (-2,0) f') <0 on (0,2) and (2,00) f"(2) >0 on -00,-2) and (2,00) f"(2) <0 on (-2,2) • f(0) = -1...
2. Sketch a graph y = f(x) that satisfies the following criteria:3. Find the equations of any horizontal or vertical asymptotes of the following functions. 1. (x) = 26-5x + 7
please write clearly 2.) Sketch the graph of a function that satisfies all of the given conditions f(0) = f'(4) = 0, f'(x) = 1 if x < -1, f'(x) > 0 if 0 < x < 2, f'(x) < 0 if-1<x<0 or 2 <x< 4 or x > 4, lim f'(x) = 0, lim '(x) = -0, f"(x) > 0 if -1 < x < 2 or 2 <x< 4, f"(x) < 0 if x > 4 1-2