For what values of a and b is the following function continuous at every x? f(x)={   -2,     x<_ -3        {ax-b,  -3_ 3 find the values of a and b for which the function f continuous at every x.

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A: Please see the below picture for detailed solution.

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

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

Q: Find numbers a and b so that f is continuous at every point.

A: Given,

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Q: 2, if x -1 Find the value for a and b such that f (x) = {ax + b, if – 1 3 for all real numbers.

A: NOTE: Refresh your page if you can't see any equations. . the function is continuous at x=-1 so we…

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A: f(-2) = -4

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Q: Determine where the following function is continuous. x-2 M(x)= 9x² - 64 The function is continuous…

A: Given problem:-

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

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Q: (x² + 1 if x -1

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A: Please refer the attached image for complete solution.

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Q: If f(x)<0 for all real numbers x, then f is decreasing on(-♾,♾) True or false

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Q: Consider the function f(x) = 2/x + 2 on the interval [4, 8]. Find th function on this interval.

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A: givenf(x)=x4-8x2+3f'(x)=4x3-16xf'(x)=4x(x2-4)so critical points will be -2,0 and 2

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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: 3. Determine the value of k for which the function will have a limit on (-∞,). x+2 x<3 2 f(x) = 3.…

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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.