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

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 the value for k that will make the function continuous at c = 4. x² – 9 if x 4

A: Left-handed limit of a function at a point is obtained by approaching the point from the left on the…

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: DETERMINE IF THE FOLLOWING FUNCTION IS CONTINUOUS AT THE GIVEN VALUES OF X.  f(x) = 1/x^2 - 9  a.…

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Q: is the function f(x) = 1/(x-2) continuous on [1,3]? Justify your answer.

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Q: Define f(x) = (x2 - 81)/(x - 9) at x = 9 so that the function becomes continuous at 9.

A: Concept: A definition of a function is that a relation from a set of inputs to a set of possible…

Q: f(x)% = x- 3x3 + 2x2-5x-7 at x = -1 %3D vnaud

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Q: Define f(x) =(x2 - 81)/(x - 9)at x = 9 so that the function becomes continuous at 9.

A: Given function is fx=x2-81x-9. To define function fxso that the function becomes continuous at x=9.…

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: Is the following function continuous? [x² + y² _if x² + y² ! f (x, y) =

A: The left-side limit, the right-side limit, and the value of the function at that point can be…

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

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

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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.

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: 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: Determine if the following piecewise defined function is differentiable at x = 0. 4х- 1, X20 f(x) =…

A: We will check whether the function is differntiable or not at x=0 as following.

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

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Q: Determine if the given function is continuous at the indicated number x = c. |x-3| if x#3 4. j(x) =…

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

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

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Q: Determine whether the following functions are continuous at x = 2: x 2 7x + 3 f(x) = 3x + 7

A: Determine whether the following functions are continuous at x=2

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: ii) f(x) = x*-1 %3D x²-1

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Q: Differentiate the following function. f(x) = -3e-3x d -(-3e-³x) = dx

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Q: Show that the following continuous function has a root between l and 2. f(x) = 4x - 6x² + 3x - 2

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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 of the constant aa that makes the following function continuous on (−∞,∞).…

A: Since the function is continuous at every real number , so, it is also continuous at x=5Therefore,…

Q: Determine whether the following function is continuous at the given point z =: 3x2 + 14x – 5 1 3…

A: Given. The function fx=3x2+14x-53x-1  x≠13163x=13 We have to check the continuity of the function at…

Q: Determine if the following piecewise defined function is differentiable at x= 0. 4x- 3, x20 f(x) = x…

A: Given,           fx=4x-3x≥0x2+5x-3x<0

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: 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: 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: Determine if the following functions are continuous at the given value of x. Show your solution. 1.…

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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 the value of the constant cc that makes the following function continuous on (−∞,∞)(−∞,∞).…

A: We have been given a piecewise function and we need to determine the value of ‘c’ at which the given…

Q: sketch the given function and determine whether it is piecewise continuous on[0,∞).

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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: Determine whether the following functions are continuous at x = 2: 17x + 3 13x +7 x<2 f(x) = x22

A: In calculus, a function is continuous at x=a if and only if all three of the following conditions…

Q: Determine whether the following function is continuous at the given point z= 22 +9z – 5 f(=) = 2x-1…

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

A: Function f(x) is continuous at a point x=a :Function should be defined at x=a, and  limx→a-f(x) =…

Q: 2. h(x) = at x = 1 x+1 %3D x2-1

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Q: _18. Determine the following function if continuous at f(x) = ) `x + 1' ; at x = 0

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Q: Which of the following functions passes through the point (0,12) and satisfies f'(x)=8 ?

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