Determine the interval(s) on which the function is continuous: 2r+ 7 212-3x-9 if x<1/2 S(x) = if x-1/2 2+e+1 irx> 1/2 Ox<-3/2, x>1/2 Ox<-3/2, -3/21/2 -3/2

Q: Find max and min of function on the interval    f(x)=-x4-x3+5x2-4 on [-2,1]

A: The given function is; f(x)=-x4-x3+5x2-4 on [-2,1]

Q: f(x) = -7x + 6 x² +6 if x < 0 if x 20

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Q: Determine which of the following functions are valid PSDS (i) wó + 30 +3 (ii) exp|- (@- 1)

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Q: Find the value(s) of a and b for which f is continuous at -2: 3x³ - 7x² + 7 if x -2 f(x)

A: To find the values of a and b for which f is continuous at -2.fx=3x3-7x2+7 if x&lt;-2a+b if…

Q: Determine whether the following function is continuous at the given point x = 3x? + 14x – 5 1 x + 3…

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Q: 2) Let f be a function given by (3x +2 if f(x) = { 3 (x² + 1_ if Find f(0), f(-2), ƒ(-1), ƒ(1) and…

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Q: (x² + 1 if x -1

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

Q: Find the open intervals on which the function f(x)=x+6*sqrt(5−x) is increasing or decreasing.

A: Given, f(x)=x+65-x

Q: Determine the values of x for which f (x)=x",x >0 is increasing or decreasing.

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Q: Let X=[-1,1] and Y=[0,1], and define the function f:X-->Y by f(x)=x^2. Which of the following is NOT…

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Q: e3-6-2, if x 3 = 3. 1. Determine if f is continuous or discontinuous at x = 2 and x =

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Q: Let f(x) = −3x² + 1 1 X3 + −xª. Find all local and absolute maxima and minima of f.

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Q: Use Intermediate Value Theorem to check whether f(x) x- 2x -1 has at least one zero between x= -1…

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Q: The domain of the function f(x)= cosh (x/ 18) is Select one: O [-18, 18 ] OR-{18} OR-{-18, 18 } O […

A: Given- fx=cosh-1x8 To Find- The domain of the function.

Q: Use the Intermediate Value Theorem to show 11. f(x)=2x' +3x-1 has a zero between a = 0 and b = 1.

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Q: Investigate the continuity of the function at x=3. S-2x +4 if x23 f(x)x-1 fx<3 At x3

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