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Question 8 Submit Assessment The graph below is the function f(x) O US TH Determine which...
This Question: 1 pt 4 of 40 (3 com Determine the points at which the function...
This Question: 1 pt 4 of 40 (3 com Determine the points at which the function f below has discontinuities. For each point state the conditions in f(x) in the continuity checklist that are violated. In order for f to be continuous at a, the following three conditions (Use 1. f(a) is defined (a is in the domain of f). must hold. 2. lim f(x) exists. Select 3. lim f(x)=f(a) (the value off equals the limit off at a). OA...
Use the graph below to determine whether the statements about the function y=f(x) are true or...
Use the graph below to determine whether the statements about the function y=f(x) are true or false. Ay 10- 8- 6 -10 -8 -6 -4 -2 2 8 10 True or false; lim f(x)= 9. X-3+ O True O False True or false: lim f(x) = 3. X-0- O True O False True or false: lim f(x) = lim f(x). X-0 X0- O True False True or false: lim f(x) exists. x0 0 True 0 False True or false: lim...
11-12 Sketch the graph of the function and use it to determine the values of a...
11-12 Sketch the graph of the function and use it to determine the values of a for which lim, f(x) exists 1 x if x<- 11. f(x)-x if -1x< 2-x if x1 1>r>T- J}
11-12 Sketch the graph of the function and use it to determine the values of a for which lim, f(x) exists 1 x if xT- J}
Answer both and show work. 1y=fle) L-5. Given the graph of the function f(x) shown to...
Answer both and show work.
1y=fle) L-5. Given the graph of the function f(x) shown to the right-the same graph is - used for L-2. Identify any points where f(2) is not con- tinuous and explain why using precise mathematical statements in relation to how the definition of continuity is not sat- isfied. You may refer to work in L-2 rather than repeat it. L-3. Given the function g(2) defined piecewise below, determine each of the following values, showing clearly...
The graph of the function fis shown in the accompanying figure. (a) is f continuous at...
The graph of the function fis shown in the accompanying figure. (a) is f continuous at x = O No Why or why not? (Select all that apply.) Fa) is not defined lim Fx) - Fla) Olim Rx) does not exist limFX) exists There is a corner at x = pa) is defined Fx) exists F"(x) does not exist (b) is f differentiable at x = a? Justify your answer. (Select all that apply.) lim, Fx) exists lim FX) does...
1. (2 pts each) The graph of some unknown function f is given below. 10 6/ 8-64-2 624 10 12 Use the graph to estimate the following quantities: (0 f (9) (g) f(4) b) lim (a) lim (e) (d) lim ( 6)...
1. (2 pts each) The graph of some unknown function f is given below. 10 6/ 8-64-2 624 10 12 Use the graph to estimate the following quantities: (0 f (9) (g) f(4) b) lim (a) lim (e) (d) lim ( 6) (e) lim f(x) (c) lim f(x) if g(x)f(x) 6) a value of r where f is continuous but not differentiable (k) a value of r where f"(x) 0 and f"(x)>0 (1) the location of a relative maximum value...
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)
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
Find the value x a where the function is discontinuous For the point of discontinuity give...
Find the value x a where the function is discontinuous For the point of discontinuity give (a) f(a) if it exists. (b) limfx). (c) lim f(x), (d) lim 1x), and (e) identify which conditions for continuity Affx) are not met 10 a= (Use a comma to separate answers as needed) (a) Select the choice below and, if necessary, fill in the answer box within your choice O A 8a)= OB. f(a) is undefined (b) Select the choice below and, if...
15. [2/3 Points) DETAILS PREVIOUS ANSWERS LARCALC10 1.3.506.XP. Consider the following function and its graph. 8(x)...
15. [2/3 Points) DETAILS PREVIOUS ANSWERS LARCALC10 1.3.506.XP. Consider the following function and its graph. 8(x) = - y2 Use the graph to determine the limit visually (if it exists). (If an answer does not exist, enter DNE.) (a) lim () -1 (b) lim (2) 0 Write a simpler function that agrees with the given function at all but one point. D26x) - Submit Answer Viewing Saved Work Revert to Last Response
This Question: 1 pt 4 of 40 (3 com Determine the points at which the function f below has discontinuities. For each point state the conditions in f(x) in the continuity checklist that are violated. In order for f to be continuous at a, the following three conditions (Use 1. f(a) is defined (a is in the domain of f). must hold. 2. lim f(x) exists. Select 3. lim f(x)=f(a) (the value off equals the limit off at a). OA...
Use the graph below to determine whether the statements about the function y=f(x) are true or false. Ay 10- 8- 6 -10 -8 -6 -4 -2 2 8 10 True or false; lim f(x)= 9. X-3+ O True O False True or false: lim f(x) = 3. X-0- O True O False True or false: lim f(x) = lim f(x). X-0 X0- O True False True or false: lim f(x) exists. x0 0 True 0 False True or false: lim...
11-12 Sketch the graph of the function and use it to determine the values of a for which lim, f(x) exists 1 x if x<- 11. f(x)-x if -1x< 2-x if x1 1>r>T- J}
11-12 Sketch the graph of the function and use it to determine the values of a for which lim, f(x) exists 1 x if xT- J}
Answer both and show work.
1y=fle) L-5. Given the graph of the function f(x) shown to the right-the same graph is - used for L-2. Identify any points where f(2) is not con- tinuous and explain why using precise mathematical statements in relation to how the definition of continuity is not sat- isfied. You may refer to work in L-2 rather than repeat it. L-3. Given the function g(2) defined piecewise below, determine each of the following values, showing clearly...
The graph of the function fis shown in the accompanying figure. (a) is f continuous at x = O No Why or why not? (Select all that apply.) Fa) is not defined lim Fx) - Fla) Olim Rx) does not exist limFX) exists There is a corner at x = pa) is defined Fx) exists F"(x) does not exist (b) is f differentiable at x = a? Justify your answer. (Select all that apply.) lim, Fx) exists lim FX) does...
1. (2 pts each) The graph of some unknown function f is given below. 10 6/ 8-64-2 624 10 12 Use the graph to estimate the following quantities: (0 f (9) (g) f(4) b) lim (a) lim (e) (d) lim ( 6) (e) lim f(x) (c) lim f(x) if g(x)f(x) 6) a value of r where f is continuous but not differentiable (k) a value of r where f"(x) 0 and f"(x)>0 (1) the location of a relative maximum value...
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)
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
Find the value x a where the function is discontinuous For the point of discontinuity give (a) f(a) if it exists. (b) limfx). (c) lim f(x), (d) lim 1x), and (e) identify which conditions for continuity Affx) are not met 10 a= (Use a comma to separate answers as needed) (a) Select the choice below and, if necessary, fill in the answer box within your choice O A 8a)= OB. f(a) is undefined (b) Select the choice below and, if...
15. [2/3 Points) DETAILS PREVIOUS ANSWERS LARCALC10 1.3.506.XP. Consider the following function and its graph. 8(x) = - y2 Use the graph to determine the limit visually (if it exists). (If an answer does not exist, enter DNE.) (a) lim () -1 (b) lim (2) 0 Write a simpler function that agrees with the given function at all but one point. D26x) - Submit Answer Viewing Saved Work Revert to Last Response
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