For what value of the constant c is the function ff continuous on the interval (−∞,∞).

Q: For what value of the constant c is the function f continuous on (−∞, ∞)? f(x) =    cx2 + 6x…

A: fx=cx2+6x     if x<3x3-cx       if x≥3 fx is continuous for all x<3 & x>3, because it…

Q: For what value of the constant c is the function f continuous on (-00, 00) ? S cx? + 8x RX) = {-x x3…

A: The given function will be continuous when limx→3+fx=limx→3-fx.

Q: Consider r² – 2x +1 if r 1. Determine if the following functions are continuous on the interval I.…

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Q: For what value of the constant c is the function f continuous on (−∞, ∞)? f(x) =      cx2…

A: The function f is defined by: The definition of the function changes at x=5So the function is said…

Q: For what values of a and b will f(x) be continuous on everywhere at x = 2 if the function is x² – 4…

A: f(x)=x2-4x-2x<2ax2-bx+32≤x<32x-a+bx≥3

Q: For what value of e is the function defined below continuous on (-∞0,00)? C= 9. f(x) = [cx + 1,…

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Q: Find the value of the constant a that makes the following function continuous on (−∞,∞).   f(x)=…

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Q: For what value of b, f(x) is continuous at every x? (a²x-2a f(x) = (12 x2 2 x< 2

A: As f(x) has two parts and both parts are continuous in given x so make continuous only at point x= 2

Q: For what value of the constant c is the function f continuous on the interval (-o, 0o). - Scr+ 3z, I…

A: Explanation of the answer is as follows

Q: Given the function y=f(x), y" is found to be negative over the interval (4,8), then over this…

A: Answer is given in next step.

Q: For what value of the constant c is the function f continuous on (-o, o)? { Cx2 2x if x < 5 - x3…

A: Observe that, f (x) has discontinuity at x = 5.If it is continuous at x = 5, then continuous on…

Q: For what value of the constant c is the function f continuous on ( - 0, 00) where cx + 6 if a 7

A: Given      fx = cx+6            if x≤7cx2-6          if x&gt;7To find      Value of c where function…

Q: For what value of the constant c is the function f continuous on (-o0, 00) where S cx + 6 if x E…

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Q: 9. For what value of the constants A and B is the function A√x+6-1 for Br² +2 f(x) = 2 Ar + B f…

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Q: The function f(x) = 2 + 1/x is continuous on the following interval EXCEPT. O a. [-2,-1] O b. [1,2]…

A: At any point a for a function f(x) the limit limx→afx=L exists if the limx→a−fx=limx→a+fx=fa.

Q: For what value of the constant c is the function f continuous on (-0, 0) if x < 5 f(x) ={ cx? + 8x…

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Q: For what value of the constant c is the function f continuous on ( – ∞, ∞) where | ct + 6 c(t) – 6…

A: Topic - continuity For function to be continuous if function does not have any abrupt changes in…

Q: For what value of the constant c the function f continuous on (-o, co)? S cx? + + 9x if x < 4 f(x) =…

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Q: Find the value of the constant c so the function f is continuous on ( – x, 0) where сх + 3 if x 4

A: The objective is to find the value of the constant C so that the function f is continuous on R.

Q: For what value of k is the function f continuous on (-o0, 00)? z – 1 ka² – a + 23 if a > -4 if z <…

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Q: cx +5 f(x) = for x 2

A: Explanation of the answer is as follows

Q: For what value of the constant c is the function f continuous on (-00, 00)? cx2 + 2x if x < 5 f(x) D…

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Q: For function f(x,y) to have no extremum value at (a,b) is? 1) rt - s>0 2) rt – s?<0 3) rt - s? = 0…

A: To select: The condition for the function f(x, y) to have no extreme value at (a, b).

Q: For what value of the constant c is the function f continuous on (- o, 0) wh- cx + 7 if x 8 C =

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Q: For what value of the constant c is the function f continuouson  (∞,-∞)?

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Q: 45. For what value of the constant c is the function f continuous on (-∞, ∞)? Scx? + 2x if x 2

A: Let f(x)=cx2+2xif x&lt;2x3-cxif x≥2

Q: For what value of the constant c is the function f continuous on ( – ∞, ∞) where S (2)² – c -c if r…

A: Given

Q: For the function f(x)=e5x+e−x defined on the interval(−∞,1], find all intervals where the function…

A: Find all the intervals for where the function is increasing and decreasing

Q: For what values of a and b is

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Q: For what value of k is the function f continuous on (-00, 00)? r +1 f(z) = kem? + 7x – 19 if a -5…

A: To find k value for given function Note : for a continuous function both left hand and right side…

Q: What values must a and b take for f to be continuous everywhere?

A: Given that the function fx=ax1+4x2 ,      x&lt;0b    ,                     x=0tan-1xx ,…

Q: If f(1) = -0.6, f'(x) is continuous, and f'(x)dx = -12.2, what is the value of f(4)? %3D

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Q: Find the values of a and b that make f continuous everywhere. x² - if x < 2 X - 2 ax? - bx + 1 4x —…

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Q: Find the value of the constant aa that makes the following function continuous on (−∞,∞).…

A: Since the function is continuous at every real number , so, it is also continuous at x=5Therefore,…

Q: The period of the function f(æ) = { S9 for 0< x < 7 and x for f(x) = f(x + 14) is 7 < x < 14

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Q: D. For what values of a and b is Continuous at every x? -2, - b, f(x) = 3, -1 <x < 1 ах

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Q: Given the function y=f(x), y" is found to be positive over the interval (4,8), then over this…

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Q: For what value of the constant a is the function continuous on (-0, 0). for r 1 f(x) ax a =

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Q: Find the value of the constant c that makes the following function continuous on (−∞,∞). f(x)={x^2−c…

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Q: Find the values of a and b that make f continuous everywhere: x²-4 if x 3 -

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: - (т + 1)с, (2х + 1)с — г? — 5, if x 1 f(x) =

A: Given the function f(x).

Q: Find the values of a and b that make f continuous everywhere. if x 3

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Q: Find the values of a and b that make f continuous everywhere x2 4 - if x 3 a %3D b =

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Q: Find the values of the constants a and b, that make (ах + b, ifx3 Both continuous and differentiable…

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Q: For what value of the constant c is the function f continuous on the interval (-oo, oo). Sz² - 9, 8z…

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Q: For what value of the constant c is the function f continuous on the interval (-o, 0). f(x) = { x² -…

A: we have to find c

Q: For what value of the constant c is the function f continuous on ( – 0, ∞) where | cy + 2 if y 4 -

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Q: Find the values of a and b that make f continuous everywhere. x2 - 4 if x < 2 x - 2 ax? - bx + 3…

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Q: Suppose that f: R→R is a differentiable function, satisfying f(3)=5 and f(x) dx=8. 3 /x-s'(x) dx?…

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Q: Find the value of constant c, if f(x) is continuous at x = 2 [cx? + 2x if x 2 -

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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.