4х + 2, х< 4 Find a value of x, if any, at which f(x) = is not continuous. 14 + 16, x > 4 If f(x) is continuous for all values of x, enter NA. X =

Q: If possible, choose k so that the following function is continuous on any interval: 7z³-21z¹ z-3 x =…

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Q: Find values of the constants a and b, that make the function f(x) continuous everywhere. (2x3 + x +…

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Q: 3. Determine f(x) = x2 + x-2 is continuous on the given interval (-0,+0) (show graph and its table…

A: Here, the given function is: f(x)=x2+x-2 And the given interval is (-∞,∞).

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A: Given function is fx=x2+7x+12x+4 if x≠-4a                  if x=-4 We have to find the value of a.…

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A: The given function is f(x)=x+5    for -1≤x≤16x       for  1&gt;x≤4 The function is said to be…

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A: We need to find the value of a and b for which the function is continuous everywhere.

Q: 1. Find the numbers for x where the function below is not continuous. Explain what type of…

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Q: Find the values of a and b that make f continuous everywhere. x2 - 4 x - 2 ax2 - bx + 3 if x < 2…

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Q: Find the values of x for which the function is continuous. (Enter your answer using interval…

A: The function is given as fx=4-x      if x&lt;3 2x-5    if x≥3 find values of x for which the…

Q: Find numbers a and b, or k, so that f is continuous at every point. 5) f(x) = 10x + 8,if x < -1 kx…

A: If f is continuous , solimx→-1-fx=limx→-1+fx

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).

Q: Consider two continuous functions f(x) and g(x) along with two real numbers a and b where a < b. If…

A: Given, two continuous functions fx and gx along with two real numbers a and b where a&lt;b To show:…

Q: ax²-3 -,х> 1 x-1 Value of a and b that will make f (x) = continuous everywhere are ... lbx + 2, х <…

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Q: Find the values of a and b that make f continuous everywhere. x2 - 4 if x < 2 X - 2 f(x) = if 2 < x…

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Q: When can we say that a function is continuous at a number?

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Q: f continuous everywhere. f(x) =   x2-4/x-2      if x < 2

A: Given fx=x2-4x-1if x&lt;2ax2-bx+3if 2≤x&lt;32x-a+bif x≥3 fx is continuous everywhere. Aim: Find…

Q: say whether the function graphed is continuous on[-1, 3]. If not, where does it fail to be…

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A: We know that a function fx is continuous at x=a if: limx→a-fx=limx→a+fx=fa Removal discontinuity…

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A: For function g(x) to be continuous on -1 limx→-1-g(x)=limx→-1+g(x)=g(-1)…

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Q: Find the values of a and b that make f continuous everywhere. x2 - 4 if x < 2 X - 2 ax2 - bx + 1 4x…

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Q: Find all values of x where the function 2 if x < 2 | f(x) = 2 - x if 2 < x < 7 x² + 6 if 7 < x is…

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

A: Given function is,

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Q: Solve for a and b that makes the function continuous at every number in its domain f(x) = 2x+1 x5

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Q: Suppose f is a continuous function on [a,b] and suppose that f(a) 0 What can you say about the…

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Q: Determine if the given function is continuous on the given point and intervals. Зх - 3x – 5, xs-1…

A: We know that, a function fx is said to be continuous at x=α if and only if limx→α-fx=fα=limx→α+fx We…

Q: х? — 4 if x 3

A: Given: fx=x2-4x-2,x&lt;2ax2-bx+3,2≤x&lt;32x-a+b,x≥3 We know that given function will be continuous…

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Q: Determine the value of the constant a for which the function f(x) is continuous at - 3. x2 +8x + 15…

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Q: 12. f (x) = x³ – 2x² + x – 1 ; (-4,5)

A: Function is called as an continuous if its right hand side and left hand side limit is equal.

Q: Determine the intervals of concavity for the function f(x)=e^(-x)- e^(-(-3x).You must use exact…

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Q: Determine if g(x) is continuous on the following interval. Show you complete solution clearly.

A: Given  g(x)=x2+1if x&lt;-12if x=-16-xif x&gt;-1

Q: Solve for a andb that makes the function continuous at every number in its domain f(x) = 2x+1 x5

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Q: Find values of the constants a and b, that make the function f(x) continuous everywhere. 2x3 + x +…

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Q: For what value of the constant c is the function f continuous on (-∞, 0)? if x 5 C = Need Help?…

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Q: Q3. Determine whether the function is continuous at x=1 or not (x² - 1 x = 1 f(x)=x-1 2, x = 1

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Q: 24. Is the function continuous on the interval (-5, 5] ? 3х-1 f(x) = x-4

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Q: Determine the value of the constant a for which the function f(x) is continuous at - 3. x2 + 8x + 15…

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Q: Find the values of a and b that make f continuous everywhere. x2 – 4 - 4 if x < 2 X - 2 f(x) = ax2 -…

A: Here, we need to find the values of a and b. We are given that f is continuous everywhere.  So,…

Q: [6 – 2x, \x² - 8, xS 3 x > 3 f(x) Where are the intervals where the function is continuous? Are…

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Q: (a). Find the values of a and b that make ƒ continuous everywhere. if x<2 x-2 S(x)={ar - bx +3 if…

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Q: The function fis continuous on the closed interval [-1, 1] and has values that are given in the…

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Q: Q20: . Suppose that f(x) is continuous and differentiable on the interval [0,6], that f(6) = -7 and…

A: Given that the function “f (x)” is continuous and differentiable on the interval [0, 6] that, f (6)…

Q: f f (x) has a local maximum, but no absolute maximum, in the interval [-5,5], then f (x) cannot be…

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Q: say whether the function graphed is continuous on[-1, 3]. If not, where does it fail to be…

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Q: (x + 1, x 0 Can also be displayed as: x + 1 when x 0 f(x) = Is f(x) continuous at x = 0? Why or why…

A: We have to find the solution of continuity

Q: (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…

A: f(x)=x2-4x-2if x&lt;2ax2-bx+3if 2≤x&lt;32x- a+bif x≥3 Definition: Continuous functionLet f(x) be a…

Q: 2х-3 Find the interval of f (x) = 5-4х that will make the function continuous

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