f(x) is continuous on (- 00,00). Use the given information to sketch the graph of f. f(x) + + +0 -11 -7 -3.5 0 11 f(x) 9. 5.6 0 -4.1 -5.6 f"(x) 0+ ++ 0 -3.5 Choose the correct graph of f below. OA. OB. OC. OD. Ay

Q: Let f(x) be a continuous function on (-00,0) and f"(x) = (-4x + 5)e4x. The function f(x) has an…

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Q: (a) What are the x-values for which the function appears to be not continuous? O Function g appears…

A: If function g is connected at all points in the given graph , it is continuous for all values of X.…

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Q: 1. Find the numbers for x where the function below is not continuous. Explain what type of…

A: We can find discontinuity of the function .

Q: 15.0. If f is continuous at a point, then is it true that f is also continuous at this point? 15.P.…

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Q: Find values of x, if any, at which the given function is not continuous. f(x) = x2 4 O f is not…

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Q: 1. Find the numbers for x where the function below is not continuous. Explain what type of…

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Q: Find values of x, if any, at which RE is not contiruous Enter your answers in increasing order f/)is…

A: A function is continuous on its domain. For continuous function , function should be defined.

Q: (a) Given a continuous function f RR and a connected subset SER, is f-¹(S) connected? Justify your…

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Q: Lel f(x) = 2x (x² - 3x x 5 (a) Is f continuous at x = 5 ? (b) Is f differentiable at x = 5 ? (c) If…

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Q: 56. Let G be a function given by [x³, for x s 1, G(x) = 13x – 2, for x > 1. a) Verify that G is…

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Q: Find all values of c such that f is continuous on (-∞, ∞). f(x) = { S 5- a², x >c (smaller value) C…

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Q: 2) Is the function f given below continuous at z = -2? Explain. Show all the work to get a full…

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Q: Find all values of c such that f is continuous on (-o, 0). { 7- r, /(r) – (smaller value) (larger…

A: f(x)=7-x2,x≤cx,x>c

Q: consider the uniformly continuous function f(X)=√x [0,1]. for a given ε>0 , what is the largest…

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Q: Suppose f is continuous on [3, 10] and differentiable on (3, 10). If f(3) = -1 and f'(x) 2 5 for all…

A: We have to find the minimum value of f(10).

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Q: Find a value of c that makes the following function continuous at x = 0. Explain why the value of c…

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A: On the given interval the function is continuous.

Q: (x²-x for x +0 If f(x) : and if fis continuous at x = 0, then k= 2x f(0) = k -1/2 O 1/2 O 1

A: f(x) = (x2 - x)/2x limx→0 x2-x2xlimx→0 x(x-1)2xlimx→0 x-12= -12

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A: Explanation of the answer is as follows

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Q: 3. Determine if the given function is continuous on the given point and intervals 1 x<0 f(x) = Osx<5…

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Q: 5. ff is a continuous function on the closed interval [a, b], which of the following must be true?

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Q: Isg continuous on (0,1]? * if x 4.

A: Solution:Given  g(x)=xif x≤03if 0&lt;x≤13-x2if 1&lt;x≤4x-3if x&gt;4To find:g is continuous at (0,1]

Q: _13. Determine if the given function is continuous at the indicated number x = c. -3x-10 x+2 if x*-2…

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Q: 42) For f(x)= x-1 if 03x S 3 a) Give the domain of f b) Evaluate (-2), 0) and /(3) c) Graphf d) Is f…

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Q: Vx - 2 h(x) = { -V4 – x intervals: (2, +o), [2, +0), (-2,2), (-2,2], (-∞ – 2), and (2,3) -3+ x

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Q: 57. Find a constant b such that h is continuous at x = 2, where for |x| 2 With this choice of b,…

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Q: Q#2. Give an example of functions f and g , both continuous at x = 0 for which the composite fog is…

A: There doesn't exist any function. Because

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.