Which of the following is a function that has a jump discontinuity at x = 2 and a removable discontinuity at x = 4, but is continuous elsewhere?

Q: Find the x-values (if any) at which f is not continuous. Which of the discontinuities are removable?…

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Q: Determine the discontinuities of the following functions and state why the function fails to be…

A: f(x)=x3+x2-17x+15x2+2x-15function is undefine when x2+2x-15 is become 0Let…

Q: DETERMINE WHETHER THE GIVEN FUNCTION m(x) IS CONTINUOUS OR DISCONTINUOUS AT x = -1

A: NOTE: Refresh your page if you can't see any equations. . find the left-hand limit of the function…

Q: Assume whether the function graphed in the accompanying figure is continuous on [-1,3]. y = k(x) 2 3…

A: for being a contrinuous function this condition should be satisfiedlimx→a-f(x)=limx→a+f(x)=f(a)from…

Q: For what value of b is             continuous at every x?

A: To find the value of a such that given function is continuous for every x. f(x)=a2x-2a,    x≥212,…

Q: Suppose that f( is a continuous function. If f(#) da=4, then what is the value of T - f(x)] dæ ?…

A: To evaluate the given definite integral.

Q: Under what circumstances can you extend a function ƒ(x) to be continuous at a point x = c? Give an…

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Q: Consider the following. Find the x-values at which f is not continuous. Which of the discontinuities…

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Q: For what value of a is the following function continuous at every x?

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Q: The function is discontinuous at x= -4. At this point, is f continuous from the right, left, or…

A: A function f is said to be right continuous at a point a if it is defined on an interval and if…

Q: x2 – 1 f (x) ; x = 1 х — 1

A: We will solve the following

Q: Determine the points where the given function is not defined and is therefore not continuous. For…

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Q: Is there an unbounded function f:[0,1] →R where it is discontinuous only at a single point in [0,1…

A: f: [0, 1] →R Domain: [0, 1] The function is discontinuous at a single point of the domain.   Let's…

Q: Consider the following. S-3x, f(x)={2 - 4x + 3, x > 6 Find the x-value at which f is not continuous.…

A: Given: f(x)=-3x              x≤6x2-4x+3,   x>6

Q: For which values of x is the function below NOT continuous?

A: To find out the values of x at which the function is discontinuous.

Q: Let 1, if-3 <x s2 f(x) = %3D 4-x, if 2 < x<4 Without graphing, is f(x) continuous at x 2? Clearly…

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Q: Which of the following functions f has a removable discontinuity at a? If the discontinuity is…

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Q: Sketch the graph of a functionf that is continuous except for a removable discontinuity at 2.

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Q: Find the x-values (if any) at which the functionf(x)= is not continuous. Which of the…

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Q: In The given question, , determine whether the statement is true or false. If it is false, explain…

A: we have to tell whether the given statement is true or false. Statement : If a function is…

Q: Consider the function g :ℕ→ℝ  where  g(n) = 1 if n is odd and g(n) = 2 if n is even. Is g continuous…

A: Given function is g :ℕ→ℝ  where  g(n) = 1 if n is odd and g(n) = 2 if n is even.

Q: If the function is defined y=2x when x=3, is this function differentiable at x=3? Also, is this…

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Q: Where is the function f(x) = if x 0 removable discontinuity? Is it a jump discontinuity?

A: A jump discontinuity occurs when right and left limit exists but are unequal .

Q: Which of the following functions are continuous? Why do you think they are continuous?

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

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Q: (b) Redefine f(4) so that f is continuous at x = 4 (and thus the discontinuity is "removed"). f(4) =

A: The given function is: f(x)=x2-12x+32x-4

Q: say whether the function graphed is continuous on[-1, 3]. If not, where does it fail to be…

A: It is clear from graph of y=k(x) , that the function k(x) is continuous on the interval [-1,1) and…

Q: Determine whether the following function is continuous at a. f(x) = /x- 7; a = 1

A: Topic :- Continuity

Q: Evaluate f (x): at x = -2. %D 1 - x2 Select one: A. Discontinuous B. Continuous

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Q: Is the functionf graphed below is continuous at x= -1? Choose the appropriate reason that justifies…

A: Continuous at x=-1, as limit is equal to f(-1).

Q: At what points are the functions continuous?

A: The part of the function -x2 / 2 is always continuous. There is no point of discontinuity here. The…

Q: For what value of k is the following a continuous function?

A: Function is continuous if   limx→2-f(x)=limx→2+f(x)=limx→2f(x)

Q: Consider the following f(x)= 2/4-x2 Find the x-values at which f is not continuous. Which of the…

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Q: Determine if the given function is continuous at a given value of x.

A: This question is related to limits and continuity, we will solve it using given information.

Q: Let f(x) = −2/x and g be the function defined b)Is f . g continuous at x = 3? If not, does…

A: limit of the composite function

Q: The graph of the function f'(x) of a continuous function f is shown. On what intervals is f concave…

A: It is given that,the graph of the function f'(x) of a continuous function f.  We have to find…

Q: Which of the following functions are continuous? Why do you think they are continuous? hix fix

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Q: Is the following function continuous at a = 1? Explain why. x2 +4x 21 - f(x) = ifx # 3 X - 3 6. ifx…

A: Consider the function  fx=x2+4x−21x−3              x≠36                                 x=3

Q: . Is the function continuous on the interval (4, 10)? (x + 1 if x > 8 f(x) = E) + 7 if x < 8 A.…

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Q: sketch the graph of a function that is continuous everywhere except at x=3, and is continuous from…

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Q: Find the x-values (if any) at which f is not continuous. Which of the discontinuities are removable?…

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Q: determine whether or not the function is continuous at the indicatedpoint. If not, determine whether…

A: Let’s  verify for continuity at x=1As we know by definition of abs |x| function

Q: At what points of R² are the following functions continuous?

A: A function is not continuous at the value of variables when the function does not give a defined…

Q: Suppose that the function f(x) has the form f(x) mx +b' where C is a non-zero constant and m # 0.…

A: The given function is fx=Cmx+b, where Both C and m are non-zero. The only point where the above…

Q: Give the graph or the formula of a function that is continuous but not differentiable at x=0.

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Q: Which of the following does not represent a function that is continuous everywhere?

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Q: Consider the following. f(x)= |x-5| / x-5 Find the x-value at which f is not continuous. Is the…

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Q: For what value of a is the function continuous at every x?

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