2. Consider the graph of a function. 5 3+ 2 3 4 6. a. Find the x value k at which the function has a removable discontinuity. b. What value should be assigned tof(k) to make fcontinuous at x = k? Find the x value t at which the function has a right-continuous discontinuity. c.

Q: 8. Find the inflection points of the previous function and identify regions for which the function…

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A: From the given graph we can conclude that-

Q: d. b e a f

A: A graph open and ends both in downward direction

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A:

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A: Given

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Q: 1 65. Is the function given by G(x) = continuous бх + 8 at x = 2? Why or why not? 2.

A: To check the function G(x) = 1x2-6x+8 continuous at x = 2. G(x) = 1x2-6x+8

Q: Use the graph of f' shown in the figure below to answer the following questions. y y=f'(x) -1 1 2 3…

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A:

Q: Analyze the following graph of f' (x). Õver what interval is f concave down? 2 1 -4 -3 -1 4 -1 -2 -3…

A: Given  The graph of f'x  We have to find the intervals in which f is concave down.

Q: Use the following information to sketch the graph of a continuous function with the following…

A: The given conditions are : (a) f-3=5, f0=2, f3=0 (b) f'x>0 on -∞,-3∪3,∞and f'x<0 on -3,3…

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A: Topic = Functions

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Q: This function: y 4 -4 -2A 4 2 1 -4 has an infinite discontinuity has a jump discontinuity has a…

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Q: Consider the following function on the domain [-5, 5]. f(x) 18(4.5*) 18(0.5*) Locate any relative…

A: Consider the given function:

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A: Hey, since there are multiple sub-parts posted, we will answer first three sub-parts. If you want…

Q: 3. Sketch the graph of a function f(x) that is continuous except for the stated discontinuity. a).…

A:

Q: The graph of the derivative f' of a function f is shown. 4 6 8. 10 12 14 (a) On what interval is f…

A: We will find the answers to all the parts as following.

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A: given F(x)=∫0xf(x)dx

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Q: The graph of the derivative f' of a function f is shown. 4 9, 8 10 12 14 16 18 (a) On what interval…

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A: Given function to check asymptotes, domain and range.

Q: 1. Write the conditions a function has to meet in order to be continuous at point a. a) b)

A: A function f(x) has to meet these conditions in order to be continuous at any point a

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A:

Q: Consider the function ​f(x)equals=x squared minus 6 xx2−6x.   a. Graph f on the interval xgreater…

A: Given, f(x) = x2 − 6x a. The graph of f(x) for x ≥ 0 is as follows:

Q: Jan 27, 9:44:07 AM The function f(x) is graphed below. How many points on the graph represent a…

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Q: Q3\ Determine if the given function is continuous or discontinuous at the indicated points 2_x x² +…

A: We have been given the function to us  2xx2+6x-7

Q: 12. The graph on the right is NOT differentiable at x = 1. For what reason is it not differentiable?

A: Yes, given graph is correct.Given function:f(x) = x-1f(x) = -x+1        x<1x-1           x≥1

Q: 70 The function f(x) = has a removable discontinuity at a = 0. To remove the 10+22 +2z…

A: ->Given functionf(x)=7010+x2+x3-6xx3+2xNow we want to define f(x) at x = 0 in such a way that the…

Q: (c) Sketch the graph of a function that has a local maximum at 3 and is not continuous at 3. y 3 2 2…

A: For the graph to have a  local maximum at x=3 , and also it should be discontinuous at x= 3. The…

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A: Option 1 is correct because as observed from the graph, maximum point is at x=a Option c is correct…

Q: Given the graph of f(x) below, find the absolute minimum y-value on the interval (-4, 6|, if it…

A: Here we calculate the absolute minimum of function using the given figure.

Q: 12. Use the given graph of f'(x) to determine the following: Estimate values as necessary. 5 10 0 -5…

A: Since you have Posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: Consider the graph of the function f(x) = 2 x^(5/3) - 5 x^(4/3), the relative minimum is located at…

A: Note :- A relative minimum of a function is all the points x, in the domain of the function, such…

Q: 5. To the right is the graph off'(x). Use it to answer the following. a. On what intervals is the…

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Q: Use the following information to graph y=f(x) 1) f is increasing at (-∞, -2) and (0, ∞) f is…

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Q: Use the graph of f' shown in the figure below to answer the following questions. y=f'(x) 1 2 3 4 5…

A: The graph of the derivative of the function fx is  To evaluate: The value of x at which the…

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A: When the graph of a function attain its highest value within the domain of the function then, the…

Q: 1. Use the graphs of f(x) to answer the following. f(4)=. a) b) If h(x) = f(x) + 2, what are the…

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