Below is the function f(x). 765/4-3-2-1 5 4 -1- -2 3 4 -5 6 Over which interval of z values is f'> 0? O(-2,00) O[-2,00) 0(-∞, -2) O(-∞, -2] 0(-∞0,00] Over which interval of a values is f* <0? O(-2,00) O[-2,00) O(-∞, -2) O(-∞, -2] 0(-∞0,00] Over the interval (-oo, oo), this function is O concave up (f" > 0) O concave down (f" < 0)

Q: 4(a). Define the zeroth divided difference by f[x,]= f (x; ). Write the expressions for the first…

A: As many questions are given and its various subparts, I will solve only the first. Zeroth divided…

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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: Find the interval in which the function f(x) = (x +9)4 + 6 is increasing. (Use symbolic notation and…

A: The objective of this question is to find the interval in which the function f(x) = (x + 9)^4 + 6 is…

Q: (3, -13. -mplete the following statements. x) > 0 on the interval(s) x) 0 on the interval(s)

A: Solution of the problem as follows

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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A: We need to find the interval , in which f(x+4) increasing.

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A: Let To find the intervals where  is increasing.

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A: We have to determine the intervals at which the function  is increasing or decreasing.

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Q: 25. (LO12) For the function f(x) = (x – 1)² + 2, state the intervals over which this function is…

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Q: "hich of the following statements is true of f(x)= -x³-6x²-9x-2? A. fis increasing on (-3,-1) B. fis…

A: We will find the required.