4x f (x)=- x2 +4 %3D

Q: f(x) = 9x² - 4 at x = 1

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Q: Find the values of a and b that make the following piecewise defined function both continuous and…

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Q: f(x) = at x = 1 X-2

A: A polynomial function is always Continous in its domain

Q: g(x) = at x = 2 %3D x+2

A: Definition of continuous function helps to check whether the given function is continuous or not. A…

Q: Determine the value of x of the continuous function: * (x – 1 x 3 f(x) = {3x – 3 Зх — (-4x + 3

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Q: Find the values of a and b that make f continuous everywhere. x2 - 4 x - 2 ax2 - bx + 3 if x < 2…

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Q: List the x-values where the function is not continuous: f(x) = -x+ 3 if ex if if 3 – x x < - 3…

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Q: Determine whether the following function is continuous at the given point x = 6: x2 8x + 12 - x + 6…

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Q: (b). Show whether (*) is continuous at *=-2, if (3x-2 for x = -2 S(x)=. x? - 4 х- 2 for x * -2

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Q: Write a delta - epsilon proof that shows that the function f(x) = 3x – 5 is continuous at æ = 2

A: Let ε&gt;0 be given. Also let 0&lt;δ&lt;min1,ε3. Then for x-2&lt;δ,…

Q: f(x) = x2 -4x-2 at x = 1 %3D %3D

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Q: S(x + 4)² -2 < x x < -2 f(x)

A: fx=x+42    -2≤xx2              x&lt;-2 Since the given function is a polynomial function for all…

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

A: It is clear from the graph that  function y=g(x) is continuous in [-1,3) But at x=3, Therefore, g…

Q: Determine the values of the constants a and b which make the function f(x) below continuous at x =…

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

Q: f(x) at x = - 3 X-3

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Q: Let f(x) = 3 + 27x – x³.

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Q: At what points are the functions continuous? x + 3 f(x) 2 - et

A: The given function is fx=x+32-ex

Q: Determine if the function is continuous at the given point. Sx³ x 2) f(x) = at x = 2.

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Q: (x² + 1 if x -1

A: For function g(x) to be continuous on -1 limx→-1-g(x)=limx→-1+g(x)=g(-1)…

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

A: The given function is fx=(x-2)2·(x+3)(x-2)·(x+1) We have to find the values of x, for which f is not…

Q: Find all values k that make this function continuous at x = 3. 3.x – 9 - if x > 3 x2 3.x f(x) - 3x…

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Q: 2, if x 1

A: The given function,  f(x)=1x,if x≤1x2-1,if x&gt;1

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: Let f(x)=x²+2x if x<5 - Cx if x 25. For what value of the constant c is the function f continuous on…

A: We have to calculate the value of c

Q: Show that the function is continuous. f(x) = log2(x2 + 1)

A: Consider function  fx=log2x2+1   x fx -4 4.087 -3 3.322 -2 2.322 -1 1 0 0 1 1 2…

Q: Determine if the given function is continuous on the given point and intervals. Зх - 3x – 5, xs-1…

A: We know that, a function fx is said to be continuous at x=α if and only if limx→α-fx=fα=limx→α+fx We…

Q: explain why the function has at least one zero in the given interval. f(x) = x^3+ 5x-3 intervals…

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Q: Determine if the given function is continuous at a given value of x. 2. f(x) = x² - 4x – 2 at x = 1…

A: Since you have posted multiple questions i can do first three subparts as per our company guidelines…

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: : Find the value of k that makes function continuous at x = 5 5x? – k x 5 f(x) =

A: Limit of a function at a point exists if the left-handed limit and right-handed limits at that point…

Q: Find the value for k so that the function will be continuous at x = 1. - 5x2 - 30x + 35 - 10 if x <…

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Q: Solve for a andb that makes the function continuous at every number in its domain f(x) = 2x+1 x5

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Q: 1. (x) = 3x + 2x +1 at x = -2

A: f(x)=3x2+2x+1

Q: Determine the value of x of the continuous function: * х — 1 f(x) = {3x – 3 (-4x + 3 x 3

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Q: Determine if the function is continuous or discontinuous at x=2. h(x) = x - 1, if x 22 2x- 1, if x<2…

A: if Left hand limit and right hand limit are equal then function is…

Q: function

A: We are given a function : f(x)=x2-2x+2x-3 We have to determine the domain of given function where…

Q: Find the intervals on which the function is continuous. f (x) = { %3D 3, x = 2

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Q: Q3. Determine whether the function is continuous at x=1 or not (x² - 1 x = 1 f(x)=x-1 2, x = 1

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Q: Find a value of the constant k, if possible, that will make the function continuous everywhere. (kx…

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Q: Determine if the function is continuous or discontinuous at x = 2. x2 - 1, if x 22 h(x) = 2x-1, if…

A: We have to find

Q: Find the value of a and b that will make the function continuous. for x 1/2

A: The function f(x)=1x,        for x&lt;-1ax+b,  for  -1≤x≤121x,         for x&gt;12. We have to find…

Q: 4. Determine the possible pairs of values (a, b) which make the function below continuous…

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Q: Determine if the function is continuous at the given point. 1 f(x) = {* - (x2 – 2 x 0 at x = 0.

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

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Q: f(x)=√√x at x = 7

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

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Q: Find a value for the constant k, if possible, that will make the function continuous. kox+1 for x 3

A: K = 1/3

Q: x3-9x f (x) = c = -3 x² +11x+24

A: Given function is fx=x3-9xx2+11x+24. To determine whether function is continuous at c=-3. Solution:…

Q: Find the intervals on which the function is continuous. y = 서+2 7 |

A: Please rate and feel free to ask any query about any part of the question.

Q: Select all of the graphs that depict a function which is not differentiable at x=0.

A: Here, we need to select all the graphs that depict a function which is not differentiable at x=0.…

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.