13 if a < - 10 7mx Let f(x): a2 + 8x - 3 if a -10 If f(x) is a function which is continuous everywhere, then we must have m =

Q: 2. * Given a function whose graph is shown below. The function is continuous on(-0o,-5). O Always…

A: In the graph we can see that graph is continuous at interval (-♾️,-5) because in between (-♾️,-5)…

Q: 5а — 2 if x 10 If f(x) is a function which is continuous everywhere, then we must have b :

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

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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: 21. If possible, find constants a and b so that the function f that follows is continuous and…

A: Given: fx=3x+a,x&lt;1xb2,x≥1 We know that any given functionfx will be continuous at x=p if…

Q: if a - 4 mx - 5 Let f(x) If f(x) is a function which is continuous everywhere, then we must have

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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: тӕ 11 if x - 4 If f(x) is a function which is continuous everywhere, then we must have = u

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Q: S 2x – 4 - 4x + 6 if x > 6 if x < 6 - Let f(x) = - If f(x) is a function which is continuous…

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Q: ( 4x – 1- 4x + b if x > 9 3 if a <9 Let f(x) = If f(x) is a function which is continuous everywhere,…

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Q: 1 65. Is the function given by G(x) = continuous бх + 8 at x = 2? Why or why not? 2.

A: To check the function G(x) = 1x2-6x+8 continuous at x = 2. G(x) = 1x2-6x+8

Q: if x - 9 тх | - 9 If f(x) is a function which is continuous everywhere, then we must have т —

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Q: 8х — 3 if x 7 If f(x) is a function which is continuous everywhere, then we must have b =

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Q: 1 0.5 -5 -4 -3 -2 1 2 f -0.차 -1 -1.5 -2 5. Is the function continuous at x = -3? 6. Is the function…

A: topic - continuity of a function

Q: 22. If possible, find constants a and b so that the function f that follows is continuous and…

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

A: We know that if a function is contionus at x =4 then the left hand limit and right hand limit of the…

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: 15 if a – 9 If f(x) is a function which is continuous everywhere, then we must have

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Q: mx 13 if x < - 9 - Let f(x) = x² + 3x − 4 if x ≥ −9 If f(x) is a function which is continuous…

A: The objective of the question is determine the value of "m".

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

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Q: 3. Determine whether the function is continuous at r = 5. 2²-42-5 2-5 x 5 D

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Q: x+k , if x<2 x² +4 , if x22 For what value of k is the function y = < continuous? k =

A: Continuous function. Given function f is continuous if its left hand limit is equal to its right…

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

A:

Q: x+9 Find all x-values (if any) at which f (x) = is not continuous and specify which are x2+2x-63…

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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: (x+3)2 if xs-1 Let f(x) 2-x, if-11 (x+2)

A: Given function:                          f(x)=1(x+3)2 ,      if x ≤-12-x         if -1&lt; x≤1…

Q: (c) Find the constants a and b so that the function f (x) is continuous everywhere. Also graph the…

A: Solution:Given  f(x)=x+aif -∞&lt;x&lt;4(x-1)2if 4≤x≤9Bx+1if 9&lt;x&lt;∞To find 'a' and 'b'Also graph…

Q: cx2 + 8x if x < 3 Let f(x) = 1 x3- cx if x 2 3. For what value of the constant c is the function f…

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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…

A: We have to find the value of the constant c for which the function f is continuous on -∞,∞.…

Q: |x+ 4| Find the x-values (if any) at which f(x)= is not continuous. x+ 4

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Q: 7x if I 7 If f(x) is a function which is continuous everywhere, then we must have Let f(z) : b = Now…

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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: 10 if x < - 8 тх - Let f(x) x2 + 7x – 2 if a 2 - 8 If f(x) is a function which is continuous…

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Q: 12 if r – 4 If f(x) is a function which is continuous everywhere, then we must have- - Let f(x) %3D…

A: fx=mx-12         if x&lt;-4x2+9x-8    if x≥-4 Given function is continuous for all x&lt;-4 &amp;…

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

A: To find the value of b if fx=4x-3   if x≤10-4x+b if x&gt;10

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…

A:

Q: { 8x- 6 . if c 5 If f(x) is a function which is continuous everywhere, then we must have Now for…

A: Given: 1. f(x)8x-6, if x≤5-5x+b, if &gt;52. f(x) is continuous everywhere. To Find: Value of  b.…

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: Q 12 Suppose g(x) is a continuous function on are x -3 and x= 5. If f(0) <6, explain why f(4) <6…

A: given that

Q: x² – 7 x 3 Show why or why not.

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Q: Q3\ a) Find the values of a and b to make the functions continuous at every x: ax + 2b 2) g(x) = }x²…

A: Given function is,  f(x)=-2        ;x≤-1ax-b   ;-1≤x≤13          ;x&gt;1

Q: 16 if I - 8 If f(x) is a function which is continuous everywhere, then we must have m

A: Given function is f(x)=mx-16  ,x&lt;-8x2+9x-8  ,x≥-8 Firstly, we will find limit of f(x) as x…

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: 8х — 6 = { if x 3 If f(x) is a function which is continuous everywhere, then we must have b =

A: Given that function f(x) is continuous everywhere . Therefore the value of f(x) must be equal for…

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

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Q: (x³ + 4, if x 2] Consider the function f(x) = Find the value of D such that f(x) is continuous at x…

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Q: The function f given by f(2) = { if a 3 -2x+15 is continuous at = 3

A: Given:  f(X)=x2      ,if x&lt;3-2x+15    ,if x≥3is continuous at x=3

Q: Given the function (x³ – 2x 2 if x < 2 f(x) = v2 - x if x 2 2 Determine if f is continuous at x1=2.…

A: Continuity