2. Given the function f(x) = ., determine if the function is continuOus or not. Identify the point/s (x.y) of discontinuity (if there are). 4/4

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

A: Given: The function, f(x) = 10-8e9-x,  x > 910-89x,       x≤ 9

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: 10 If f is a continuous function and F'(x)=f(x) for all x € R, then x)dx=?

A:

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

A:

Q: Let f(x) = { *, if x= 2 ; for the eax if x + 2 function to be continuous at x = 2 the value of a is

A:

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: 3. Use the definition to show that the function f(x) = is continuous on the interval [c, o0), where…

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Q: - Is the function given by G(x) = Why or why not? continuous at x = 0?

A: We know that function is continuous only if its left hand and right hand limit equal, That is ,…

Q: Determine whether the following function is continuous at the given point z За? + 14г — 5 1 f(x)= 3x…

A:

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: 8. Suppose that f is a continuous function such that f'(x) > 0 for all æ, f(0) = 0, and f(1) = 1. If…

A: f'(x)&gt;0 for all x, f(0)=0 and f(1)=1.To Find: If ∫01f(x)dx=13, find the value of ∫01f-1(x)dx.

Q: Based on your work in part a, on what interval(s) is f(x) continuous?

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Q: 8. For what value of the constants A and B is the function f continuous on (-∞, ∞)? Ar + B for r 2

A: Please see the the answer below.

Q: 54. Is the function given by SEx + 4, for x s 3, 2x – 1, for x > 3, g(x) continuous at x = 3? Why or…

A: The given function is;  g(x)=13x+4for x≤32x-1, x&gt;3 we have to check the given function is…

Q: 2 If f is continuous and f(x) dx = 14, find | xf(x?) dx.

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Q: Suppose f is a continuous function where f(7) = 9 and f'(7) = 6 . The tangent line to the graph of y…

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Q: If f is continuous on [a, b], then the horizontal line y = k for every k between f (a) and f (b)…

A: If function 'f'  is continuous on closed interval [a, b], and if f(a)≠ f(b), then for any number k…

Q: x+x², 0<x <=

A: Continuity: The function f is continuous at some point c of its domain if the limit of f(x), as x…

Q: For what value of k is the function f continuous on (-o0, 00)? z – 1 ka² – a + 23 if a > -4 if z <…

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Q: stead of f(x)). E

A: answer is in next step

Q: is Continuous and S' fldx=l6, find S xf(x*)a

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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: 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: 3. For what value of a, f(x) is continuous at every x? Sx2 – 1 2ax x 3 f(x) =

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Q: 25 If f is continuous and f(x) dx = 12, find xf(x?) dx.

A:

Q: If f(3) = 15, f' is continuous, and I f'(t) dt = 24, what is the value of f(4)? %3D

A: In this question, f is a primitive function and we have to find f(4). So I am providing the…

Q: 5. Find interval where the following functions is continuous. a). f(x) = Vr +1 b). f(t) = r+3 47-1

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Q: 2- For what value of the costant c is the function continuous at every number? F(x) = {x+c if x<2…

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

Q: O For the function $(x), fla) i defined and lem f Gx) exuts, when is fG) continuous tメO

A: Definition of continuous function: The function f(x) is continuous at x = c when: i) f(c) is…

Q: Consider the following. S-3x, f(x)={2 - 2x+ 9, x > 2 Find the x-value at which f is not continuous.…

A: We will find the value of x at which the f is not continuous and whether the discontinuity is…

Q: 14. Consider the following function: if - 10 SIS0 3. h(r) = {15x - 3| if 0<<4 2r +1 if r24 What is…

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Q: On what domain is the function f(x) = – 4+ v–48 – 6x continuous?

A: The given function is: f(x)=-4+-48-6x

Q: Find the value of the constant c that makes the following function continuous on (−∞,∞). f(x)={x^2−c…

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Q: Find the value/s of a such that the function f is continuous everywhere.

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

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Q: The table shows selected values for a continuous functiong that is increasing over the interval [0,…

A: Consider an interval a,b and its partition a=x0&lt;x1&lt;x2&lt;⋯ &lt;xn=b. Then the integral ∫abf(x)…

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

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Q: 4) Is the following functions continuous? for x < 1, d(x)= x- 2 for 1 < x.

A:

Q: 4. Use the limit definition of the derivative to test whether the following function f(x), given by…

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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: (e) If f(x) is continuous at x = 0, then what is the value of n: if 20 if x=0 f(x)=\ 38

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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: 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: Determine the set of points at which the function is continuous

A: Given function

Q: Find a constant b such that h is continuous at x = 2, where x +1 for |x| 2 With this choice of b,…

A: It is given that the continuous function  hx=x+1for x&lt;2b-x2for x≥2 It is also given that function…

Q: Find the lengths of the functions of x over the given interval. Approximate if necessary. y=e^x on…

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Q: Graph the function and observe where it is discontinuous. f(x, y) = e1/(x - y) fis discontinuous at…

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Q: Find the value k that makes the function continuous. S ka?, f (æ) = x > 2 ka + 4, г 2

A: Given thatfx=kx2         x&gt;2kx+4    x≤2We have to find value of K for which function is…