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

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

A: Given: f(x) = 14-x2 To find: The values of x at which function is not continuous.

Q: (9 pts.) Determine if the following function is continuous at x=-2. If not find the type of the…

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Q: Let f (x) be a function satisfyingIf (x)| <x? for -1<x< 1. Show that f is differentiable at x = 0…

A: The solution is in step 2

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 the constant c is the function f continuous on (−∞, ∞)? f(x) =      cx2…

A: The function f is defined by: The definition of the function changes at x=5So the function is said…

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: For what value of e is the function defined below continuous on (-∞0,00)? C= 9. f(x) = [cx + 1,…

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Q: Determine if the following function is continuous or discontinuous at x = 0? 4 +5 f(z) = 9-3z

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

A: Given: fx=-2,    x≤-1ax-b,    -1&lt;x&lt;13,   x≥1

Q: On which of the following intervals is the function f(x) = x3 differentiable? (0, +∞0) 0 (-00, +∞0)…

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

A: continuty

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

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Q: Given f(x) is a continuous function. If f( – 5) = 1 and f'(x) > 4 for – 5 <x < 2, what is the…

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

A: The graph of a function is said to be continuous in an interval if there is no break in ite graph at…

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

A: fx=4x-6 The given function is not defined at x=6. It has a vertical asymptote at x=6. Therefore,…

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

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Q: On which of the following intervals is f(x) = continuous? Vx-2

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Q: Find A given that the function, f(x), is continuous at 6.f(x)={x2Ax−42x

A: For function to be continous at x=6 , it should meet this condition

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: 1. Find the value of c to make the following piecewise function continuous on the the interval (-o,…

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Q: 45. For what value of the constant c is the function f continuous on (-∞, ∞)? Scx? + 2x if x 2

A: Let f(x)=cx2+2xif x&lt;2x3-cxif x≥2

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

A: Topic :- Continuity

Q: Determine if the following functions are continuous at the given value of x. Show your solutions. 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: Find the x-values (if any) at which f is not continuous. Which of the discontinuities are removable?…

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Q: For what value of k will the function f be continuous on (-0,0)? x² –100 f (x) = { * if x + -10 =…

A: Continuous function should not have any abrupt (sudden) changes.

Q: B- If f(x) = is continuous at x = Find A? |Ax2 x2

A: The explanation of the answer as follows

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: 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: For what value of C is the function defined below continuous on (-∞ ,∞ ) ? f(x)= { cx + 4 }, x<2…

A: To find value of ‘c’ such that given function is continuous.

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

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Q: For what values of k will the function below be continuous for all x? x³, xsk h(x) = x², x > k 1 and…

A: The function is said to be continuous at x=k if limx→k-f(x)=limx→k+f(x)=f(k).

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

A: To check the continuity of the function, check the left hand and right hand limit of the function if…

Q: Is f continuous at x = 2?

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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: 9. ✓ (at x = ()) (at x=-2) 10. ✓ 2 (for all values of x) (at x = 3) 8.

A: Given are the graphs of different functions. We know that, a function is said to be continuous if…

Q: Find the value of "k" , given that the following function f(x) is continuous at x = 3 OL + 8, f(x) =…

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

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Q: Find a value for the constant k, if possible, that kæ? if x 2 Is the function f(x) = 1 continuous…

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

A: The function given is  fx=5-x. The greatest integer function x is discontinuous at the integer…

Q: B/ For what value of a is fa continuous at every x? x2-1, x<3 fo 2ах, x2 3

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

A: Given f(x)=2x-3x-3

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

A: Here given function as fx=x+2x2-x-6orfx=x+2x-3x+2orfx=1x-3

Q: Find the value of "k" , given that the following function f(x) is continuous at æ = 3 x2 – 6x + 8, x…

A: This question is related to continuity of function.