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

Q: 4. Is the function f(x) = (x + 1 ((x-4)² +3 ; x<4 continuous at x = 4? Why or why not? ; X24

A: Since you have asked multiple question, as per company guidelines we will solve the first question…

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A: Answer

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A: We use L' hospital rule to find the limit.

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A: Given fx=5x2-20

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Q: 8 Describe the long run behavior of f(x) = x° – 5x* + 5æ° – 1 - - As x → - 0o, f(x) → ? As x → 0,…

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A: Given query is to find the continuity of the function at x = 1.

Q: 49. Is the function given by g(x) = x² 3x continuous at x = 4? Why or why not?

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Q: Is the function given by g(x) = x²-3x continuous at x = 4? Why or why not?

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Q: 3. f(x) = v2x – 5 at x = 3 -

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A: Given,f(x)= (12-3x)(e^x) By definition,

Q: f(x) = Vx-3

A: Given function is fx=x-3.

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A: The solution is given in the next step.

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A: Suppose   are continuous function at then rational function is continuous at   if .

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Q: The function f(x, y) -{¹. - x² - y², 0, if if x² + y² 1 , is continuous

A: Given function is fx,y=1−x2−y2, if x2+y2≤10,             if x2+y2&gt;1. We have to check whether the…

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A: Use given function find the required result

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Q: 3. Is the function given by g(x) = x² x = 4? Why or why not? 3x continuous at

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A: Function -  parabolic function    Option A is the correct option.

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Q: 5. Is the function given by g(x) = 4x³. 6x continuous on R?

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Q: 6. Is the function given by F(x) = at x = 4? Why or why not? 1 x² - 7x + 10 continuous

A: