1. Determine all values of the constants a and b so that the following function is continuous for all the values of x. if xs-1 if -11 ax - b, f(x) =2x2 + 3ax + b, 4,

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: Let f(x)= = m= mx - 12 if x Next Question

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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<2ax2-bx+32≤x<32x-a+bx≥3 It is continuous if and only if limx→2-f(x) =…

Q: What is the value of k so that the function f(x) is continuous at x=2 O-3 O - 3/2 1/2 0 1 T-2k f(x)…

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Q: of a and b such that the following function is continuous everywhere. wer. ax² + 2bx 19 x 2

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Q: Find the values of k for which the function f is continuous everywhere. k +2 if x< 1 f(x) if x2 1

A: the given function is a piecewise polynomial function therefore it is continuous at every point and…

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: 1) Find the values of a and b that make f continuous everywhere. x' - if x<2 х—2 f (x) = { ax? –…

A: NOTE: Refresh your page if you can't see any equations. . the function is continuous everywhere  so…

Q: | if x#3 6. %3D 15. Show that if the function g is defined by g(x) = if x=3 then g is not continuous…

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Q: a) Determine the values of a and b, for which the following function is continuous at every x. ax +…

A: Given, h(x)=ax+2bif x≤0x2+3a-bif 0&lt;x≤23x-5if x&gt;2     Determine the value of a and b:

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: Draw a possible graph of a continuous function y = f(x) that satisfies the following three…

A: The given continuous function is y = f(x).For a given continuous function if f'(x) &gt; 0 then the…

Q: Find the values of m, & k, for which the following function is continuous everywhere (8 marks) 2x +…

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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: Q3/ A) Decide if the following function is continuous using limits. x1. 2x g(x)= 3

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Q: At what value(s) of x is the function below discontinuous? x+4, if x1 O x=1, only O x=-1, only At…

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Q: 1. Determine where each of the following functions are continuous. x2 - 3x - 10 a. f(x) = %3D x2 -…

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

Q: Suppose that a continuous function g satisfies: | g(x)dr = 24 and 9(2x)da = 21. 0. .2 Find

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Q: Suppose that the function f: [0, 1]  in R is continuous and thatf (x)&gt;= 2     if 0 &lt;= x &lt;…

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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…

Q: Given the piecewise defined function g(x) = {_-lx! + k, if x < 3 x², if x ≥ 3 what value of k makes…

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Q: Suppose that f and g are functions that are differentiable at x = 1 and that f(1) = 2, f'(1) = -1,…

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Q: Find the values of m, & k, for which the following function is continuous everywhere 2x3 + x +7 if x…

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Q: -2 xs-1 f(x) 3 ax-b -1<x<1 x21

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Q: 4. Find the values of x-values (if any) at which f is not continuous. Which of the discontinuities…

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Q: For what value of k will the function f be continuous on (-0,0)? x² –100 f (x) = { * if x + -10 =…

A: Continuous function should not have any abrupt (sudden) changes.

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: b. Determine the discontinuities of the following functions and state why the function fails to be…

A: i) F(x)=x3-x2-1ii) F(x)=x2-10x+2

Q: If the function /6- 830 is continuous at x=0, then a- 1+2acosx D a 1 6 -1

A: In order to solve the given question equate the left hand limit and the right hand limit as the…

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: If function g(x) =- is discontinuous at x=a, find the points of (x-a) x2 -1 (x+4)(2x-3)´…

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Q: 5. Consider the function g(x)=1 a) For what values of x is g(x) continuous? b) For what values of x…

A: In the question we have to find where function is continuous and differentiable.

Q: Let f(x) = { if x - 4 m= mx 6 - If f(x) is a function which is continuous everywhere, then we must…

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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: Suppose that f and g are functions that are differentiable at x = 1 and that f(1) = 2, f’(1) = - 1…

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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 + 2Ax…

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Q: Suppose that a state's income tax code states that the tax liability on x dollars of taxable income…

A: Given T(x)=0if x≤00.14if 0&lt;x&lt;10,0000.21x+cif 10,000≤x

Q: For what values of a and b is the following function continuous at every x - 3 XS - 1 f(x) = { ax -…

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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: 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: Is the following statement correct? If the function f is continuous at x=1, then the constant a…

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Q: if r 4,

A: Given,          The function is gx=xif x≤03if 0&lt;x≤13-x2if 1&lt;x≤4x-3if x&gt;4

Q: Determine whether the following function is continuous at the given point z = 3x2 + 17z - 6 f(x) =…

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

Q: What values of a and b will make the function f continuous at x=2 and x=3? * x2 - 4 if x 3 2x – a…

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Q: (2x +5 3. g(x) =x² +2 x-1 at x = -1 i.

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Q: DETERMINE WHETHER THE GIVEN FUNCTION n(x) IS CONTINUOUS OR DISCONTINUOUS AT x = 2 3x² +4 n(x) = if x…

A: For function to be continuous at any point, limiting value of function at that point must be equal…