Determine whether f is continuous or not at x = 2. Justify your answer and state your conclusion. f(x) = { x2 - 4, if x < 2; if x> 2.

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

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

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A: Given query is to find function is continuous or not at x = 5.

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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: f(x)=210, where is it continuous?

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Q: Let f be defined as follows: x2 +5 for x > 5, Зах f(x)3D for xs5 For what value of a is the function…

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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: Let f(x) = V5x² – 20. Find everywhere f is continuous. -

A: Given fx=5x2-20

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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.

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A: Given: fx=2x2+3  if x≤33x+B   if x&gt;3

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A: Consider the given function: fx=x-1x-1 This can be written as a split function: fx=-1x&lt;11x&gt;1…

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

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Q: Suppose that f is a continuous function such that | f(x) dz = -12. Find | () dr.

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Q: Determine the domain of the function and prove that it is continuous on its domain f(x) = x2 / (x +…

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Q: Determine if the following are continuous at the certain point. Show your | COMPLETE SOLUTION. f(2)…

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Q: Let ƒ be the function given by ƒ(x) = (x-2)²(x+3). For what values of x is f not continuous?

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Q: Determine whether the function of f(x) is continuous at x = -1 x2 -1 f(x) ={ x +1 X + -1 -2 X = -1

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Q: If f is continuousand ∫31f(x) dx=8, show that f takes on the value 4 at least once on the interval…

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Q: 3. f(x) = v2x – 5 at x = 3 -

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A: Topic :- Continuity

Q: ii) f(x) = x*-1 %3D x²-1

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Q: Determine the domain of the function and prove that it is continuous on its domain f(x) = √(x2+9)

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

Q: Describe the interval(s) on which the function is continuous.                            f(x) =…

A: fx=xx2+x+2 Since there is no common factors in the numerator and denominator, therefore there is no…

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Q: 2. For the given function, f, determine if the function is discontinuous at a given point. State…

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Q: Determine whether the function is continuous at the given points. x+30 if x26 6, 0 if x <6 f(x) = Is…

A: Solution

Q: Is f continuous at x = 2?

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Q: Use limits to determine if f(x) = is continuous at x = 1. z-2

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Q: Determined where the function f(x) is continuous

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Q: Use the graph to determine the values of x at which the function is not continuous.   x=

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

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Q: If a function f is continuous at 0, show that g(x) = xf(x) is differentiable at 0 and find the value…

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Q: B. so, find f'(2). If not, explain why not. It can be shown that f is continuous at x = 2. Isf…

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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: fx=1x2+1 To find discontinuities find the value of x at x2+1=0 x2+1=0x2=-1 But there exists…

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A: A function f(x) is said continous at x = a  only when

Q: The function f(x) = k is continuous.

A: Given f(x) = k

Q: h(x) = x+1 %3D at x = 1 x2-1

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Q: (c) Determine whether f (x) is continuous at x-2, where [4x+3, xs2 f(x)= 8-x, 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: Here given function as fx=x+2x2-x-6orfx=x+2x-3x+2orfx=1x-3

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

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Q: ) Use the Intermediate Value Theorem to show that there is one such that f"(a) = 0. point x = a

A: As per our guidelines we are supposed to answer only first 3 subparts of the question. Kindly repost…