Question 1 Sketch the graph of an example of a function f that satisfies all of...
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....
Sketch the graph of an example of a function f that satisfies all of the given conditions. lim f(x) = 4, lim f(x) = 2, lim f(x) = 2, f(3) = 3, f(-1) = 1 x-1 x3+ X-3- у 5 у 5 3 3 -6 - 4 -2 LX 6 N 4 -6 - 4 -2 - 1 - 1 O 5 5 4 ON 3 -6 -4 . -2 2 4 6 -6 -4 -2
Sketch the graph of an example of a function f that satisfies all of the given conditions. lim f(x) = 4, lim f(x) = 2, lim_f(x) = 2, f(3) = 3, f(–2) = 1 * 3- * -2 * 3+ 2E مم للطفل -6 -4 -2 6 -6 -4 -2 6 ما r h + بر و -6 -4 -2 2 4 6 6 -4 -2 2 4
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
1. Sketch the graph of an example of a functionſ that satisfies all of the following conditions. lim f(x)=0 lim f(x) - 3 lim f(x) = -50 f(-2) = 0 lim f(x) = -1 lim f(x) = 1 lim f(x) = * f(2)= 1 2 3 -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)...
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...
Sketch a possible graph of a function that satisfies the conditions below. Determine whether fis continuous at x = 1. f(1) = 2; lim f(x) = -2; lim f(x) = 2 x=1 *1* Choose the correct graph below. OA. B. OC. D. ro х X х -5 5 -5 5 -5 5 -5 5 Is f(x) continuous at x = 1? No оо Yes
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
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)...