Sketch the graph of a function that is continuous on (-0,ce) and satisfies the following sets...
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
This Qu Sketch a possible graph of a function that satisfies the conditions below. - 1) = -2; im f(x)2, limfx)=2 Choose the correct graph below OA Ос. OD Find the indicated limit. lim X+1 V 9x - 4 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. lim V9x - 4 = (Type an exact answer, using radicals as needed.) X-1 O B. The limit does not exist.
U2JCIC) f(x) is continuous on (-00,00). Use the given information to sketch the graph off f(0) = 12,6)=0, f(12)= -12. f'(o)=0. (12)=0 (x) > 0 on (-2,0) and (12,00), f'(x) <0 on (0,12) t" (6)=0 f'(x) >0 on (6.co) 1"(x) <0 on (-00,6) Choose the correct graph off below. A. OB Ос. OD. © AY Ay 20 a M ☺ -20 Click to select your answer DI O 1 Type here to search MP
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
Sketch a non-constant function that is continuous on (-00,00) and has the following properties. Use a number line to summarize information about the function. f(-6)=f(-2)=f'(-6)=f(-4)= f'(-2) = 0; f(x)20 on (-00,00) Which of the following graphs matches the description of the given properties? OA. OB. OC. 1 SO 13 501 50. 2 50- Which number line summarizes the information about the non-constant function? The function is decreasing in red and the function is increasing on blue. f'>0 p <0 '>0...
Given that f(x) is continuous on (-0,00), use the information below to sketch the graph off. f() OND+++++++ O +++ 0 x-1 0 ffx) 2 3 1 2 3 3 5 4 hoose the correct graph below OA ОВ. Ос. OD Af) AF) 1 a A) a © © Click to select y nswer
Sketch the graph of a single function that has all of the properties listed. (a) Continuous and differentiable everywhere except at x = 2, where it has a vertical asymptote (b) Increasing everywhere it is defined (c) Concave upward on (-0,2) and (446) (d) Concave downward on (2,4) and (6,00) Choose the correct graph below. OA ов. O c. OD a 10 10 10 10 10 10 10 - 10
Sketch the graph of a continuous function on (-4,0 satisfying the given properties f')0 for x = -3 and - 2. f has an absolute maximum x 0;fhas an absolute minimum at Choose the correct graph below and has a local minimum at x-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(-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
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....