1. Determine all values of the constants a and b so that the following function is continuous for all the values of x. if x < -1 if – 1< x <1 if x > 1 ах — b, f(x) = {2x2 + 3ax + b, %3D 4,

Q: DETERMINE WHETHER THE GIVEN FUNCTION m(x) IS CONTINUOUS OR DISCONTINUOUS AT x = -1

A: NOTE: Refresh your page if you can't see any equations. . find the left-hand limit of the function…

Q: For what values of a and b will f(x) be continuous on everywhere at x = 2 if the function is x2 – 4…

A: Given f(x) = x2-4x-2x&lt;2ax2-bx+32≤x&lt;32x-a+bx≥3 It is continuous if and only if limx→2-f(x) =…

Q: Find the value of the constant (a , b, or c) that makes the function continuous.

A: If function is continuous  Then, it will be continuous on x=-1 and x=12 Therefore, limx→-1-1fx=f-1…

Q: 9. Find the value(s) of k that makes the function continuous over the given interval. fx) = {3x + 4,…

A: Solve the question number 9 as asked by the user

Q: For what values of a and b will f(x) be continuous on everywhere at x = 2 if the function is x² – 4…

A: f(x)=x2-4x-2x&lt;2ax2-bx+32≤x&lt;32x-a+bx≥3

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

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

A: continuty

Q: Find c so that f is continuous at every point f(x) = 5x+12c, if x < -5 f(x) = (cx^2)+1, if x ≥ -5

A: Given- fx=5x+12c if x&lt;-5cx2+1   if x≥-5 To find- The value of c that  the above function is…

Q: Suppose f(1) is continuous everywhere, and has the following values: 10 20 30 40 f(z) -4 9. 11 3. 7…

A: Given,  f(x) is continuos everywhere  f(x) has the following valuesx010203040f(x)-491137To…

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Q: 1) Draw a rough sketch of a continuous function, ƒ(x), with all the following properties: A) ƒ(0) =…

A: A) f(0)=4 , f(5)=-1, means that points (0, 4) and (5,-1) lie on the function B) f'(0) =0, f'(5)=0…

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: Consider the following function, where k is an unspecified constant. 28 + kx , x<3 f(x) = x< +x-k ,…

A: A given function is continuos everywhere, when the value of the function is sam on the breakpoints…

Q: 1. Determine whether the following functions are continuous at the given point. a) f(x) = 1 ; а — 3…

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Q: Find the value(s) of k that makes the function continuous over the given interval. a < k k < a S 3x…

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Q: * 4. Determine a constant k for which the following function will be continuous on (-00,00). 3x + k,…

A: Solution of question as follow

Q: 1. Determine all values of the constants a and b so that the following function is continuous for…

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Q: find constants a and b such that f(2) +3 = f(0) and f is continuouspiecewise f(x) = ax + b , if…

A: We have been given a piecewise function and a condition f(2)+3=f(0) and the fact that f(x) is…

Q: I Determine whether each of the following functions is (a) continuous (b) differentiable 1. f(x) =…

A: Note: Since you have posted multiple questions we will solve the first question for you. If you want…

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Q: Suppose that g and h are continuous functions and that S8(x) dx = 5, h(x)dx =-1, and h(x) dx = 3.…

A: There is no such rule of division of two integral.

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A: We will use knowledge of measure theory and real analysis to answer this question. As instructed in…

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Q: 4. At what value(s) of x is the function x + 2 x2 for x 1 f(x) = 3- x discontinuous?

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Q: 4ex +x-k if x 0 be continuous everywhere?

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Q: 3x if x 2

A: Given that a function of f(x) and we find value of k. We know that if a function is continuous at x=…

Q: the following function is a continuous function at x=2 امرفق x² +x-6 x+ 2 x) = x2 - 4 x = 2

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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: 1. If y = f(x) is a continuous function for all 0 < x< 6, and f(0) = 1 and f(6) = 7, then which of…

A: Function

Q: Find values of the constants k and m, if possible, that will make the function f continuous…

A: If f is continuous at x=a then limx→a-fx=limx→a+fx=fa . Assume , f is continuous every where to find…

Q: 11 Suppose that f:R → R is a continuous function for which f(u) du=12 . | f(2x+3) da . Your answer…

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Q: Given x2 if x 2 f(x) – f(2) a) Determine the left and right limit of the function b) For what…

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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: Find the sum of the constants A and B so that the following function is continuous at x 1. Bx2 + 2Ax…

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Q: 4) Find the value of the constant k so that the function (1 – k, if z<3, f(z) = 1– kr, if 123, is…

A: This question is related to limit and continuity of a function, we will use condition for a function…

Q: Suppose f(x) is continuous everywhere, and has the following values: 10 20 30 40 f(x) 4 10 8 5 5…

A: f(x) is continuous everywhere and has the following value: x 0 10 20 30 40 f(x) 4 10 8 5 5

Q: 1) What values should be assigned to c and d to make the function continuous every where 3. – 1 f(x)…

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Q: 5. Suppose the function g is defined by g(z) = { kz+1 for 0 < x< 3 for 3 <r < 5, mx + 2 where k and…

A: Given function is g(x)=kx+1  ,0≤x≤3mx+2 , 3&lt;x≤5 limx→3-f(x)=limx→3-kx+1=2k…

Q: 3. Determine the values of a and b so that the following function is continuous on (-00,00) ax+b if…

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Q: 1+ cx, if x 2 Given the function: f(x) = C - x, What should be the value of c so thatf is…

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Q: Find the sum of the constants A and B so that the following function is continuous at x = 1. Bx2 +…

A: topic - continuity of a function

Q: If f(x) = a #0 and f is continuous, the value of k is 2x k x = 0 o 1 o 1 2 1/2

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Q: S x2 – 3 |kV5+x _if x > –1 if x < -1 - 2. Determine the constant k such that the function f(x) : is…

A: As per our guidelines, I can answer one question and maximum three subparts of a question. Since you…

Q: Suppose f(x) is continuous everywhere, and has the following values: 10 20 30 40 f(x) - 2 7 10 - 4 7…

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Q: 2. Find the (exact) values of a and b so that f is continuous at a = 2. 8r2 + 20x + 28 if x 2

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

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Q: 1. If y = f(x) is a continuous function for all 0 <x< 6, and f(0) = 1 and f(6) = 7, then which of…

A: We use the given graph of the function y=f(x), to answer the given question.

Q: 5. Find the value of k that makes the following function continuous. f(x) : ={2x - 1,if x2-1

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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.