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

Q: Determine if the following functions are continuous at the given value of x. 1. f(x) = 3x² + 2x + 1…

A: Since you have asked multiple question, we will solve the first question for you. If you  want any…

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

A: The denominator can not be 0.  So, x≠0 and x-1≠0  Or, x≠0 and x≠1

Q: For what value of a is the following function continuous at every x? a?x+ 2a, x22 f(x) = . 12, x< 2

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Q: For what value of c is the function defined below continuous on (-o, o)? – c², f(x) = { x - c², x<…

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Q: Determine whether the following function is continuous at the given point 1 = 2x+11x f(z) = 2x 13

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Q: Determine whether each of the following functions is (a) continuous (b) differentiable.

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

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

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Q: For what values of b is b + 1' x? + b, x > 0 8(x) = continuous at every x?

A: Now we check the continuity at x = 0:

Q: Is the following statement correct? If the function is continuous on R then the constants a and b…

A: It is not necessarily correct that every continuous function on R take the value 2&amp; -2…

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

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Q: At which of the following values is the function g(x) = *+5 not continuous? x2+x

A: Here ,given function g(x)=x+3x2+xAnd  above polynomial is rational polynomial .A rational polynomial…

Q: For what values of b is - b b + 1' g(x) x? + b, x > 0 continuous at every x?

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Q: For what value of c is the function defined below continuous on (-∞, )? сх + 4, x 4. x > 4. f(x) = C…

A: f(x) = cx+4    ,  x&lt;4cx2-4  ,  x≥4we have to check continuity on (-∞ , ∞)for a function to be…

Q: determine at which points, the function f(x)=x2 if x∈Q if x and f(x)=-x2 if x∈R/Q is continuous.

A: Given To evaluate the points where the function f(x)=x2 if x∈Q if x and f(x)=-x2 if x∈R/Q    is…

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

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

A: The given function is fx=-2,x≤-1ax-b,-1&lt;x&lt;13x≥1. Assume that the above function is continuous.…

Q: For what value of k will the function f be continuous on (-, ∞)? x2 - 81 if x + -9 f(x) = X + 9 k if…

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Q: Determine if the following function is continuous at the indicated number. 3. g(x) = { ( 3 – x, x 1…

A: It is continuous function problem.

Q: Is the following function continuous at x = 2? Explain why or why not. x2 +x – 6 - :x > 2 f(x) = x –…

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Q: Explain if the function is continuous or not for the given number a. if x > 1 f(x) = {1 if x = 1…

A: topic - limits and continuity

Q: Which of the following are necessary for the function f(x) to be continuous at x=a? Select all of…

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

A: Given :             f(x) =1(4-x2)

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

A: Topic :- Continuity

Q: ii) f(x) = x*-1 %3D x²-1

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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: If a function f(x) is not defined at x-a, then it is not continuous at an open interval (a, b) * O…

A: Given Statement is "False"

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

A: Given- fx=xx2-4 To find- The values of x at which the function is not continuous. Concept used-  The…

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

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Q: 3x if x 2

A: Given that a function of f(x) and we find value of k. We know that if a function is continuous at x=…

Q: What values must a and b take for f to be continuous everywhere?

A: Given that the function fx=ax1+4x2 ,      x&lt;0b    ,                     x=0tan-1xx ,…

Q: 2. h(x) = 플ox=1 x+1

A: Given a function : h(x)=x+1x2-1 We need to show if it is continuous at x=1 or not. Let's begin.

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

A: Given function is

Q: x +1 x 2

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Q: For what value of a is the following function continuous at every x? x - 153, x< 17 f(x) = ax, x2 17

A: A function fx is continuous at a point x=a, if following three conditions will be followed, 1. the…

Q: Is f continuous at x = 2?

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Q: Which of the following is a function that has a jump discontinuity at x = 2 and a removable…

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Q: For what values of a and b is Continuous at every x? -2, x 1

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Q: Let f be a function that is continuous on the closed interval [1, 5] with f ( 1) = 10 and f (5) =…

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Q: For what values of a and b is -2, - b, -1 < x < 1 3, f(x) = ах continuous at every x?

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

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Q: Compute the value of a to make sure the following function is continuous. (ах + 1 x 3

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

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Q: Is the following statement correct? If the function f is continuous at x=1, then the constant a…

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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: Is the given statement true or false? Justify your answer. 'If the function f is continuous at a,…

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Q: For what value of a is the following function continuous at every x? x²-165, x<15 f(x) = %3D 2ах, X2…

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Q: For what value(s) of a is the following function continuous at every x? a?x+ 2a, x22 f(x) = 24. x< 2…

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Q: On what domain is the function f(x) = 5+ V2x + 6 continuous? %3D

A: Let's find.

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.