-2 xs-1 f(x) 3 ax-b -1

Q: Find values of the constants a and b, that make the function f(x) continuous everywhere. (2x3 + x +…

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

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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: if x < - 4 - Let f(x) = x² + 3x 8 if x ≥ - 4 - If f(x) is a function which is continuous everywhere,…

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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: Determine the interval (s) where the following function is continuous x-7 f(x)= (x-7)x+4)

A: In the given function (x-7) is a common factor in numerator and denominator. So, it will cancel out…

Q: For which of the following values of x is f not continuous f(x) = (x-2)²(X+3) (x-2)(x+1)

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Q: Find the values of a and b that make f continuous everywhere. f(x) =    (x2 − 4)/x-2        if x < 2…

A: Given fx= x2-4x-2 if x&lt;2ax2-bx+1   if 2≤x&lt;34x-a+b      if x≥3Here f is continuous everywhere…

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: 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: Find the values of a and b that make f continuous everywhere. 2-4 x 2 if x < 2 f(x) if 2 s x< 3 if x…

A: To determine the values of a and b so that f(x) is continuous everywhere.

Q: Find numbers a and b, or k, so that f is continuous at every point. 5) f(x) = 10x + 8,if x < -1 kx…

A: If f is continuous , solimx→-1-fx=limx→-1+fx

Q: Find the values of a and b that make f continuous everywhere. x2 - 4 if x < 2 X - 2 f(x) = if 2 < x…

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Q: Find number k, so that f is continuous at every point. 3x+9, if x-6

A: Given,  fx = 3x+9   if   x&lt;-6kx+6   if  x ≥ -6  fx is continuous at every point, then we have to…

Q: Suppose f(x) is a twice-differentiable function which is positive and decreasing for all real…

A: Consider the given conditions for f(x) and assume the graph for function f(x) for the given…

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: For what value of k will the function f be continuous on (-, ∞)? x2 - 81 if x + -9 f(x) = X + 9 k if…

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Q: *show work*

A: If x is continuous at x=-1 then left and right limit at x=-1 must be same. From there find a…

Q: x + 20 g(x) = { 3Cx + K if – 2 < x За — 2K if x < -2 | if 1 < x -

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: (x² + 8, if x4) Consider the function f(x) = Find the value of B such that f (x) is continuous at x…

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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: * 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: 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: Find the values of a and b that make f continuous everywhere. x² - 4 if x < 2 f(x) = x-2 ax² if 2 ≤…

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Q: Find the values of a and b that make f continuous everywhere. x2 - 4 if x < 2 X - 2 ax2 - bx + 1 4x…

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

A: Please refer the attached image for complete solution.

Q: x2-x-1 , if x 1 is 1 if x= 1 continuous at x=1 since the right and the left limits are equal at x =…

A: f(x)=x2-x-1if x&lt;13x3-4if x&gt;11if x=1

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

A: We have to find a and b

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: 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: For what values of a and b is the following function continuous at every x? - 9 XS -3 f(x) = { ax -…

A: Given:

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

A: continuous function

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: For what values of “a" the following function f(x) = {a 3 ; x< 3 is continuous at every x .

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Q: For what value of the constant c is the function f(x) continuous at x = 1 Seter-2, | In (x) + 6, if…

A: We will use concept of left hand limit and right hand limit in this problem.

Q: Find the possible value for each of the constants a andb that will make the function f(x) continuous…

A: A function is said to be continuous at x=a iff limx→a-f(x)=limx→af(x)=limx→a+f(x)

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

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Q: Find a value for the constant k, if possible, that kæ? if x 2 Is the function f(x) = 1 continuous…

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Q: Find values ofk and m that will make the function f continuous everywhere. x2 +5 x > 2 f(x) ={ m(x +…

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Q: if x 2 a а. Determine all possible values of a and b that make f continuous everywhere.

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Q: Find the values of a and b that make f continuous everywhere. x² - 4 X - 2 ax? - bx + 3 2х — а + b…

A: The given function f(x) is continuous everywhere, thus the function is continuous at x = 2 and x =…

Q: If a function is real and continuous in the region from a to b and f(a) and f(b) and if both have…

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Q: 3. Find the values of a and b such that the following wise function is continuous at points x-2 and…

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Q: For what values of a and b is the following function continuous at every x? -1 xs - 1 f(x) < ax b…

A: At x=-1 , left hand limit=-1 Right hand limit= a(-1)-b= -a-bThe function is continuous so left hand…

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

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