For what value of the constant A is the following function continuous for all real x? if x<1 (Ax + 5 |x² – 3x + 4 ifx² 1 S(x) : %3D

Q: :-3 ifx 2 -3 2-1

A: The given piecewise function is,t(x)=-12x-3if x&lt;2-1if x≥2

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

A: f(x)=x3+x2-17x+15x2+2x-15function is undefine when x2+2x-15 is become 0Let…

Q: g(x) = x³ + x? - 8x- 12 f(x) = x² + 4x +3 %3D h(x) = x² + 3 %3D s(x) = x² - 3x

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Q: If c is a non zero constant then the function is always differentiable x2 + c2

A:

Q: For which a is each of the following functions defined 2x – 3 (a) f(x) = (b) 1 g(x) = 3x + 2 4.x + 5

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Q: Consider the following function: -{ ( 2x² – 10x + 4 if x < 4 = (x)f - 2x2 – x + 6 if x 2 4 Step 1 of…

A: Given function f(x)  To find the x-value where function is discontinuous.

Q: Given the function ( 7x – 4 r 0 |

A:

Q: . If f f() dr 17 and | f(x) dr = 8, find f(x) dr. %3D

A:

Q: Graph the following piecewise functions. IS-2 Sx+ 2 f(x) =-x+3 = {**: x>-2

A: We can answer first question as per the honor policy. Please resubmit other question as well to know…

Q: Identify the real number at which it is not continuous of the given function

A: To find: The real number at which the function is not continuous: Given: The function is fx=-x23x+9.…

Q: Let fx) - 2x-5 and let g(x)= 4x +1. Find the given value. flg(- 2) flg(- 2)] = (Type an integer or a…

A:

Q: For what value of b is this piecewise function continuous? 8x +3, x < −6 7x+b, x ≥ −6 f(x) =

A: Please see the below answer.

Q: f(x) %3D — х3 + х2 — 8х + 4 1. 3.

A:

Q: The function given below is discontinuous at x = x+2x-24 f(x) = *+6 O -6 O 6 O 4 O 4

A: Solution

Q: r(0) - f0) = (6x - 2; x> 03x - 2; xSO

A:

Q: The function given below is discontinuous at x = %3D +2x-24 f(x) = x+6

A: The solution to the given question is explained below.

Q: Graph the following functions.

A: The function: fx=-2x-1if x&lt;-11if -1≤x≤12x-1if x&gt;1

Q: 4x + 5 + 5x² – 3 x>5 g(x) =' h(x) =Vĩ - 7x x=5 9x? f(x) = 3x² – 5x +7 4х — 9 x<5

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Q: Which of the following formats should be used for the domain of the function: 2-1 f(z) = %3D 2- 6z +…

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Q: It is given that at x = 1, the function x4 - 62x2 + ax + 9 attains its maximum value in the interval…

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Q: For what value of x does the function g(x)=-1/3x3 +2x2  convex

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Q: S2x+1, x54 x² +12, x>4 3. Is the function f(x) = continuous?

A: topic - continuity of a function

Q: For what value of x does the function g(x)= -1/3x3 +2x2 convex

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Q: What input is NOT allowed for f(x)= 1/5x-25

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Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.