If the function / is continuous for all real numbers and if f(x)= ² when x*-2, x+2 then f(-2) = O does not exist O NONE OF THESE -2 O 4

Q: The domain of a quadratic function is (-o, x). O True O False

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Q: Suppose that the function fis defined, for all real numbers, as follows. f(x) = x-3 if x -2 Graph…

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Q: h(x) = (x – 3)² Determine for each r-value whether it is in the domain of h or not. In domain Not in…

A: Given,  hx = x-32  We have to find the  whether 0, 3 and 4 is in the domain of h or not.

Q: If the function f (x) is continuous for all real numbers and if f (x) x²-4 when x + -2, then x+2 f…

A: f(-2) = -4

Q: x -4 ifx<2 Determine f(2) if f(x)= {2-x if 2 <x<4. x-2 if 4 <x

A: Given,           fx=x2-4if x≤22-xif 2&lt;x≤4x-2if 4&lt;xTo find : Determine f'+2.

Q: The third interval of the following function xe* - 1, which between 0 and 1 is [2,3]. True False

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Q: D D -11-10-9-8 -9-8-7-6 -5-4-3-2-1 -8 -7 -5 -4 -3 7 6 5 4 3 2 1 -1. -2 -3 -4 -5 -6 -8 8 7 6 5 4 3 2…

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Q: For what value of k will the function f be continuous on (-, ∞)? x2 - 81 if x + -9 f(x) = X + 9 k if…

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Q: What if the big-O of the following function? f(x) = 2 + 3 + 4 + ... + (n-1) OO (nlogn) OO (n-1) OO…

A: The function appears to be summing up a sequence of consecutive integers starting from 2 and going…

Q: Write the domain of the given functions in interval notation:

A: here we have to find the domain of the given functions.

Q: Let f be the function 6x-1 for x {/ Find the values of a and b that make the function continuous.…

A: we need to find values of a and b which make the given  function continuous.

Q: What is the domain in interval notation of the function scrt(x-4)/scrt(x-6)

A: Solution:function :- x-4x-6∵we know that the value in the square root can not be…

Q: Suppose that the function h is defined, for all real numbers, as follows. 1 *-2 if x2 4 Find h(-1,,…

A: The given function is,h(x)=-14x-2if x&lt;-1(x+1)2-2if -1≤x≤2-14x+2if x&gt;2

Q: 13. The interval for function -(x+5)/2<(12+3x)/4 is (- 00,-22/5) (-22/5,00 ) (- 00,-22/5] 0(-22/5,00…

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Q: ppose that the function fis defined for all real numbers as follows. { 1 + x ² f(x) = 1+x²_ if x<1…

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Q: 2. Evaluate the piecewise defined function at the indicated values. x2 + 4x if x s -3 Ax) = {x if -3…

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Q: The piecewise function f is defined below.  ?(?) = }       3? − 1   if  ? ≤ −2…

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Q: The following is the graph of the function f(æ) = { 4+x – x2 if x 2 if –1 < x < 2 3x - -4 0- -5 -10…

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Q: O is a simple zero of f(x)= secx+e2 -2 %3D Select one: True O False

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Q: What is the domain of if x0 Give the range of f(x) = x< 0 A. (-00, 00) B. (-4, 0) C. (-4, 00) D.…

A: As per guidelines we have to solve three suboarts Since ist two question answer is not in option  So…

Q: b) Find the Constants "a" and "b" such that the following function is continuous for all real…

A: We have to properties of continuity first.

Q: Suppose that 3 <f"(x) < 5 for all values of x. Show that 18 < f(8) – f(2) < 30.

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Q: x²x2 x - 3 ax + b -3 < x < 4 x³ + 4x x ≥ 4 Determine the values of the constants a and b that make…

A: The given function is,The function should be continuous so we can write,

Q: Give the domain for  g(x)=x+2/x^2−3x−40 in interval notation.

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