10 if x < - 8 тх - Let f(x) x2 + 7x – 2 if a 2 - 8 If f(x) is a function which is continuous everywhere, then we must have m =

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

A: We need to find values of a and b.

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

A:

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

A:

Q: 6x -4, xS 5 -kx + 6, If the function f (x) = is continuous at r = 5, then the value of k is --- --…

A: The given function is: This function is continuous at x = 5, if at this point left side limit,…

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: (kx-1 ifx< 2 G(x) kx? if x 2 2

A:

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

A:

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

A:

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: 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 —

A:

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

A:

Q: 5. The function f(x) is defined as: 4x3 +17x2 + 13x +36 x -4 ontinuous for all values of x. What…

A: solution:-f(x)=4x3+17x2+13x+36x+4     x&lt;-45x2+2x+a                       x≥-4f(x) is continuous…

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: 4- if f(x)= {† * *S S2 +x x 15 is this function is continuous or dicontinuous a) continuous b)…

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

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

A:

Q: mx 10 if x < - 4 Let f(x) = x² + 8x - 6 if x ≥ - 4 If f(x) is a function which is continuous…

A:

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

A:

Q: 3 3-x7 X-3 if D < X< | if 1ぐメ4 if X 7 4, IS the function g(x) - Continuous on IH3 On on 0.0)?

A:

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: 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…

A:

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

A:

Q: 2x – 1 if x 5 | If f(x) is a function which is continuous everywhere, then we must have b.

A:

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

A:

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

A:

Q: 19. Suppose f is a piecewise-defined function, equal to g(x) if x 2, where g and h are contin- uous…

A: Consider the given piecewise function. f=gx      x&lt;2hx      x≥2 The functions g(x) and h(x) are…

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 if x3 Is it possible to defined f at x=-2 in such a way that f becomes continuous at x=-2? If…

A:

Q: 4х — 4 if x 2 If f(x) is a function which is continuous everywhere, then we must have Now for fun,…

A:

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?

A:

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: 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: - 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: 3. Determine the values of a and b so that the following function is continuous on (-00,00) ax+b if…

A:

Q: 7. For the function f (x) = In(x² + 1) (a) find all intervals where f is increasing, (b) find all…

A:

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…

A:

Q: - 10 тх — 12 x2 + 3x – 2 if x > if x < Let f(x) = -10 If f(x) is a function which is continuous…

A:

Q: 2. Find the value of k so that the function defined ( x2 + 4 x 2 - x = 2.

A: A function is a relation which maps each value in its domain to exactly one value in its range.…

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…

A:

Q: (b) The function f is defined by 5 X7 5 Determine the values of A and B if f is continuous at x=--…

A: the given function f is defined by: fx=Ax2-6,       x≤-54Bx+A,          -54&lt;x&lt;725,…

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…

A:

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

A:

Q: (-x3 – 4x + 20 ,x > 3 2 – 7x , x < 3 Determine whether the function f(x) = is continuous at x = 3.…

A: From the given problem: fx=-x3-4x+20 , x&gt;32-7x , x≤3 As we know that:  If limx→a+fx=limx→a-fx=fa…

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

A:

Q: Let f(x)={4x−4 if x≤6               {−5x+b if x>6 If f(x) is a function which is continuous…

A:

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.