2x – 1 if x < 5 Let f(x) = { – 7x + b if x > 5 | If f(x) is a function which is continuous everywhere, then we must have b.

Q: -x² + 2x +1 ,x1. If the function f(x) is continuous on Real number, then find values of b and c.

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Q: Find the absolute maximum and absolute minimum 3 of f(x) = + x² – 35x over the interval [3, 7]. 3

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Q: Determine the value for k that will make the function continuous at c = 4. x² – 9 if x 4

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Q: x²-1 If f(x) = for x +1 and f(x)=2 when x 1, show that the function x-1 is continous at x=1?

A: Show that f is continuous at x=1

Q: 8x – 4 if x 9 If f(x) is a function which is continuous everywhere, then we must have b =

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Q: 4x -5x-6 for x +2 Given f(x) 2-V2x 4 for x = 2 Is the function f continuous at x = 2 ? Give…

A: A function f(x) is continuous at x = a if limx→a+f(x)=limx→a-f(x)=limx→af(x).

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Q: (2x- 3, x3 Use the definition to determine if f is continuous at X =3.0

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Q: x+2, The function f(x) = 2x², Select one: Ⓒ True False x≤1 1<x<3 is continuous from the right at x =…

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Q: x1 -1 if For what value(s) of x is the function f(x) = x+1 %3D (x² +x+1 NOT continuous?

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Q: True or FalseA 1. A Step-function is continuous at every point in its domain

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Q: If f(x) < 0 for all real numbers x then f is decreasing on (-o, 00).

A: Proceed as shown below

Q: x² + 2 if x < 0 b) f(x) = ax + b if 0sx<1, (3 + 2x- x2 if x 21 determine a and b, such that the…

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Q: 4x – 2 if I 10 If f(r) is a function which is continuous everywhere, then we must have

A: If the function is continuous everywhere then the both the functions will be equal at x=10.4x-2…

Q: Consider the piecewise function 1 3.x if x < -2 f (x) = ax2 + 2x + b if – 2 < x Where a and b are…

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Q: х — т %3D 1— тх if x < 3 if x 2 3 Find m so that g(x) = | Is continuous for all x?

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Q: 5x – 4 if z 8 If f(x) is a function which is continuous everywhere, then we must have b =

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Q: Q4) Find values for the constants a and b so that the function h(x) = ax + 5, x5 Is continuous…

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Q: 1. Find the value of the constant k such that the function f(x) = kæ² + 3 if x -1 is continuous for…

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

Q: 7x-1 if x 4 If f(x) is a function which is continuous everywhere, then we must have %3D

A: For the function to be continuous the value of left limit of x at 4 should be equal to right limit…

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: (2) f is monotone decreasing if and only if f'(x) < 0 for all r E I.

A: Here we will going to use mean value theorem  Mean value theorem (MVT) Suppose f(x) is a real valued…

Q: ( 6x – 3 if x 4 If f(x) is a function which is continuous everywhere, then we must have h

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Q: V2x+5-Vx+7 f(x) = for x# 2, If x-2 and if f is continuous at x= 2, then k = |5(2)= k

A: If f(x) =2x+5 -x+7x-2, for x≃2 f(2) =k and if f is continuous at x=2, then what will be the value of…

Q: (x2 + 2x x3 - cx if x < 5 if x 2 5. Let f(x) For what value of the constant c is the functionf…

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Q: 3. Determine whether the function is continuous at the given values of a. Show your complete…

A: Given function fx=x+2if x≤12x2if 1&lt;x≤3x3if 3&lt;xiTo chaque the function is continuous  at…

Q: f(x)= -2x+3 if x>-1 it メニー」 3+ ax2 if xc-1 if xa-I Is the fanciono continuous at x>-1?

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Q: ( 8r – 2 - 8x + b if x > 2 if a < 2 Let f(x) : - If f(x) is a function which is continuous…

A: Given query is to find the value of b so that f(x) is continuous everywhere.

Q: 3) Find the value of k that makes function continuous at x = 4 Зх + 8 x > 4 f(x) = 4x – k x < 4 — k

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Q: - 2x + b if x < 2 - Let f(x) - 24 if x 2 2 There are exactly two values for b which make f(x) a…

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Q: { 3x if x 10 If f(x) is a function which is continuous everywhere, then we must have b =

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Q: 4. Determine the possible pairs of values (a, b) which make the function below continuous…

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Q: 2. Define a function 6x2-x-15 3x-5 f(x) = |k, 3 (a) Find a value of k so that f(x) is a continuous…

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Q: x² – 7 x 3 Show why or why not.

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Q: x2 + 18x + 81 Find a value of x, if any, at which f(x) -is not continuous. |x | +9 If f(x) is…

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Q: 42) For f(x)= x-1 if 03x S 3 a) Give the domain of f b) Evaluate (-2), 0) and /(3) c) Graphf d) Is f…

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Q: x2 – 16 This Graph of f(x) = %3D x – 4 4, but the function is undefined at x = limit as x → 4…

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Q: 14 [mx if x - 10 Let f(x) = x² + 9x - 4 if x ≥ - 10 If f(x) is a function which is continuous…

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Q: x²-a if x2 is continuous at x-2, then x+3 if x-2 If the function fo)

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Q: x3-1 D. Is the function k(x) = {x²-1* * 1 continuous at x = 1? 2,x = 1

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Q: x² - 2x-8 if x+ 4 (4) F(x) =, x-4 if f is continuous at x=4, а, if x = 4 then a =.

A: Topic:- limit and continuity