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Hence, in this way this
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Draw the graph of a function f on [0, 4) with the given property: Jump discontinuity...
Sketch a graph of a function f(x) that satisfies each of these conditions. f (x) has a jump discontinuity at x = -3,...
Sketch a graph of a function f(x) that satisfies each of these conditions. f (x) has a jump discontinuity at x = -3, and a displaced point at x = -1 f (x) is continuous on lim f( -oo) lim f(x 2) lim f(r oo) -0+ F-1) f(0)=0 (-oo, -3), -3, 1), (-1,0, (0, o lim f( -oo) lim f(x 2) lim f(r oo) -0+ F-1) f(0)=0 (-oo, -3), -3, 1), (-1,0, (0, o
3.) Graph the given piece-wise function by hand and find all discontinuities. For each discontinuity: (a)...
3.) Graph the given piece-wise function by hand and find all discontinuities. For each discontinuity: (a) state which criteria of the definition it fails and (b) the type of discontinuity. (Be sure to analyze the following points: * =0, 1, 2, 3 and 4 (30-points) x < 0 3.x - 1. 2x |4x1 f(x) = 0<x<2 r = 2 2<x<3 3<x4 x>4 -2, -r.
How are you supposed to know that there is jump discontinuity without graphing it on a calculator? This is a non-calc portion of the AP Calculus AB exam. Is there a rule? Which of the following is tr...
How are you supposed to know that there is jump discontinuity
without graphing it on a calculator? This is a non-calc portion of
the AP Calculus AB exam. Is there a rule?
Which of the following is true? 20. Let f be the function given by f(x)- (A) lim f(x)=- (B) f has a removable discontinuity at x = 2. (C) f has a jump discontinuity at x-2. (D) f has a discontinuity due to a vertical asymptote at x...
The graph of a function f is given below (10 points) The graph of a function...
The graph of a function f is given below
(10 points) The graph of a function is given below. 2 a. For which values of x in the interval (-4,4) is f not continuous? Give the type of discontinuity Gump, infinite or removable) in each case. b. For which values of x in the interval (-4,4) is fnot differentiable? c. Give the value of the following: i. lim f(x) ii. lim f(x) tit. lim f(x)
1 6. Where is the function f(x) { { - X4 if x # 0 discontinuous?...
1 6. Where is the function f(x) { { - X4 if x # 0 discontinuous? if x = 0 0 Is this a removable discontinuity? ex if x < 0 7. Where is the function f(x) discontinuous? x2 if x > 0 Is this a removable discontinuity? Is it a jump discontinuity? f(x) = {
Sketch a graph of a function f having the given characteristics. f(0) = f(8) = 0...
Sketch a graph of a function f having the given characteristics. f(0) = f(8) = 0 f'(x) < o if x < 4 f'(4) = 0 f'(x) > 0 if x > 4 f"(x) > 0
17. Sketch the graph of an example of a function f that satisfies all of the...
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....
6. (10 points) The graph of a function fis given below. O O a. For which...
6. (10 points) The graph of a function fis given below. O O a. For which values of x in the interval (-4,4) is fnot continuous? Give the type of discontinuity (jump, infinite or removable) in each case. b. For which values of x in the interval (-4,4) is f not differentiable? c. Give the value of the following: i. lim f(x) lll. lim f(x) X-2 X-2 X-2
6. (10 points) The graph of a function fis given below. 2 a. For which values...
6. (10 points) The graph of a function fis given below. 2 a. For which values of x in the interval (-4,4) is f not continuous? Give the type of discontinuity (jump, infinite or removable) in each case. b. For which values of x in the interval (-4,4) is f not differentiable? c. Give the value of the following: i. lim f(x) ii. limf(x) ill. lim f(x) 22+
please write clearly 2.) Sketch the graph of a function that satisfies all of the given...
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
3.) Graph the given piece-wise function by hand and find all discontinuities. For each discontinuity: (a) state which criteria of the definition it fails and (b) the type of discontinuity. (Be sure to analyze the following points: * =0, 1, 2, 3 and 4 (30-points) x < 0 3.x - 1. 2x |4x1 f(x) = 0<x<2 r = 2 2<x<3 3<x4 x>4 -2, -r.
How are you supposed to know that there is jump discontinuity
without graphing it on a calculator? This is a non-calc portion of
the AP Calculus AB exam. Is there a rule?
Which of the following is true? 20. Let f be the function given by f(x)- (A) lim f(x)=- (B) f has a removable discontinuity at x = 2. (C) f has a jump discontinuity at x-2. (D) f has a discontinuity due to a vertical asymptote at x...
The graph of a function f is given below
(10 points) The graph of a function is given below. 2 a. For which values of x in the interval (-4,4) is f not continuous? Give the type of discontinuity Gump, infinite or removable) in each case. b. For which values of x in the interval (-4,4) is fnot differentiable? c. Give the value of the following: i. lim f(x) ii. lim f(x) tit. lim f(x)
1 6. Where is the function f(x) { { - X4 if x # 0 discontinuous? if x = 0 0 Is this a removable discontinuity? ex if x < 0 7. Where is the function f(x) discontinuous? x2 if x > 0 Is this a removable discontinuity? Is it a jump discontinuity? f(x) = {
Sketch a graph of a function f having the given characteristics. f(0) = f(8) = 0 f'(x) < o if x < 4 f'(4) = 0 f'(x) > 0 if x > 4 f"(x) > 0
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....
6. (10 points) The graph of a function fis given below. O O a. For which values of x in the interval (-4,4) is fnot continuous? Give the type of discontinuity (jump, infinite or removable) in each case. b. For which values of x in the interval (-4,4) is f not differentiable? c. Give the value of the following: i. lim f(x) lll. lim f(x) X-2 X-2 X-2
6. (10 points) The graph of a function fis given below. 2 a. For which values of x in the interval (-4,4) is f not continuous? Give the type of discontinuity (jump, infinite or removable) in each case. b. For which values of x in the interval (-4,4) is f not differentiable? c. Give the value of the following: i. lim f(x) ii. limf(x) ill. lim f(x) 22+
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
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