(a). Find the values of a and b that make f continuous everywhere. x² -4 if x<2 x-2 f(x)={ax² - bx+3 if 2

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Q: 1. (Find the value of a so that the function f(x) is continuous everywhere.f(x) ={2x+a if x&lt;1…

A: Given:

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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 2 f(x)%3D ax² – bx + 3…

A: The given function f is,

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A: Given:  fx is continuous , f-1= 2, f2 = -1  To Prove:  fx has a root in -1,2

Q: hich of the following is a function that has a jump discontinuity at z = 2 and a removable…

A: As per our guidelines we are supposed to answer only one question. Kindly repost other question as…

Q: Let f(x) = {4x-5, if x &lt;= 7                      -3x + b, if x &gt; 7 If ?(?)f(x) is a function…

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Q: What value should be assigned to c so that f(x)= the set of real numbers? x²+x-20 x-4 3c x < 4 x ≥4…

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

A: NOTE: Refresh your page if you can't see any equations. . to find the undefined points, take…

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: 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: Find c so that f is continuous at every point f(x) = 5x+12c, if x < -5 f(x) = (cx^2)+1, if x ≥ -5

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Q: Let 1, if-3 <x s2 f(x) = %3D 4-x, if 2 < x<4 Without graphing, is f(x) continuous at x 2? Clearly…

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Q: Find the value of k so that the function ( 5x +3 if x<3 f(x) = | kx² is continuous everywhere? if x…

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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: Consider the following function: - 4 if x 3 Find the values of a and b that make f continuous…

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Q: x+2a, if x<1 What value for a would makef (x)continuous everywhere? Let f(x)= (ax? +7x-4, if x21

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

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Q: (b) Redefine f(4) so that f is continuous at x = 4 (and thus the discontinuity is "removed"). f(4) =

A: The given function is: f(x)=x2-12x+32x-4

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: Let x-4 +a, x4 x-4| Then, f (x) is continuous at x = 4, when

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Q: The function f(x) = (x² - 4)/(x-2) is continuous at x = 2. Select one: O True False The function…

A: Continuity of function

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…

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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: B- If f(x) = is continuous at x = Find A? |Ax2 x2

A: The explanation of the answer as follows

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: (b) Determine the values of a and b that make f(x) continuous for all real x. x² – 4 x- 2 f(x) =…

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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: (b) Suppose that f(x) = ൜βx2 − 3    if x ≤ 2βx + 2      if x &gt; 2 Find the value of β so that f(x)…

A: For continuity, left hand limit=right hand limit=f(x)

Q: Find a value of the constant k, if possible, at which kx2 f(x) = x+k x> -7 is continuous everywhere.…

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

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Q: Then the value of k for which f(x) is continuous for all real values of r is

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Q: (г? + 4х — 21) Let f(x) = for x + 3. How should f(3) be defined so that f will be continuous (л — 3)…

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Q: (b) Suppose that f(x) =  βx2 − 3            if x ≤ 2 βx + 2             if x > 2 Find the value of β…

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Q: 3 b) Find values of x, if any, at which f is not continuous:f(x) =+2

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Q: f(x) = x² – 3x – 10 %3D

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

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Q: Where is the function f(x) below discontinuous? if z 2 Choose all answers that apply. f(x) is…

A: This question is related to limit and continuity, we will solve it using given information.