A function is continuous on the closed interval [-3,3] such that f(-3) = 4 and f(3) = 1. The functions f'(x) and f"(x) have the properties given in the table below. f'(x) f"(x) -3

Q: Sketch the graph of a single function that has all of the properties listed. a. Continuous and…

A: Given information Continuous and differentiable for all real numbers,  f'x>0  on  -∞, -2  and…

Q: [6] Use the algebraic test to determine if these functions are odd, even, or neither. [Odd: f(-x) =…

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Q: f(x) = |x| · : %3D Then f-l(x) = if x > 0, and f-l (x) = if x < 0.

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Q: 13) Graph if f(x) = x when x = -1,2,4, or 8; f'(x) = 0 if x = -1,2,4, or 8; f'(x) 0 throughout…

A: Given: 1. fx=x when x=-1,2,4,8.            2. f'x=0 when x=-1,2,4,8.            3. f'x&lt;0 for…

Q: What is an example of a function f : [-2, 2]-->R which is not differentiable at -1 but which is…

A: To find an example of a function                                   f : [-2, 2]→R which is not…

Q: Step 4 To find (f-l)'(x) use the theorem that states that if f is differentiable on an interval I…

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Q: 1- 5x Let f(x) = %3D 1 + 5x Then f'(1) is and f'(1) is

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Q: The function f(x) = x^2 is decrea sin g on (- ∞,0)  True or False

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Q: Sketch the graph of a function that satisfies all of the given conditions. vertical asymptote x = 0,…

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Q: Continuous for all real numbers f'(x) 0 on (-6, 1) and (3, ∞) f"(x) > 0 on (-∞, –6) and (3, ∞ f"(x)…

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Q: Find a function that is defined for all real numbers and has f'(x) that exists for all real numbers…

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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: Find f'(x). 4 f(x) = 3x5 (x² - 4) X

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Q: Sketch the graph of a function that satisfies all the given conditions.

A: We have to sketch a graph satisfying the given condition.

Q: Let f'(x)= = (x-1) (x-2)(x+1) and g'(x) = (x+2)(x-3) (x+3)

A: We have to find the interval in which f(x) and g(x) are decreasing.

Q: Given the graph of ƒ' (x) below, where the Dom f (x) = (-∞, ∞) . Find ALL interval(s) for which f""…

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Q: If f(3) = 5 and f'(x) ≥ 2 for 3 ≤ x ≤ 8, how small can f(8) possibly be? f(8) Z

A: f(3)=5f'(x)≥2    for 3≤x≤8

Q: Sketch the graph of a function that satisfies all of the given conditions. f'(0) f'(x) > 0 if x 4,…

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Q: Suppose f is a function that satisfies the equation f(x + y) = f(x) + f(y) + x2y + xy2 for all real…

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Q: Find a function for which f'(x) exists for all real numbers but f"(x) doesn't exist for all real…

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