7. A. continuous for all real numbers B. f'(x) < 0 on (-∞, -3) and (0, 3) C. f'(x) > 0 on (-3,0) and (3,00) D. f"(x) > 0 on (-∞,0) and (0,6) E. f'(x) <0 on (6,00) F. f'(0) does not exist

Q: Which of the following gives the range of

A: The domain is the set of x values or the input values. The range is the set of f(x) values or the…

Q: 4) Graph a function satisfying the properties: f(-5) = 8, f(2) = 2, f (5) = 6 f'(-5) = 0, f'(2) = 0,…

A:

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A: The given function is  f(x) = 12x3

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Q: Q(2) Let f be a differentiable function whose domain is the set of all real number, and satisfy all…

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A:

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A:

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A:

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Q: What is the point of intersection for f(x) = 2* and g (x) = (÷) ? A (1,0) (2,4) C (1.) (0.1)

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

A:

Q: The sketch that represents a continuous function, y = f(x), such that: f'(-3)=Ø f(-3) = 5 and A(1) =…

A: The graph of continuous function f(x) is given in the options. The given data of the function f(x)…

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A:

Q: Assume that for a function f(x), f'(x) « O on the interval (-0, -5) and f'(x) » O on the interval…

A: From the given definition:  f ' (x) &lt; 0 when x &lt; -5 so graph must be decreasing in this…

Q: On what open interval is  f '  an increasing function?   For which value of x is  f '(x)  minimum?

A:

Q: What is the derivative of the function r (x) 5 (9x²-2) (5x+7) (3x³-2x+2) 9x²-2 5 5x+7 3x³-2x+2 5…

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Q: 6. Sketch a graph of some function f(x) where the interval for f(x) > O is [2,5] and [8,).

A:

Q: -2 -3 -5 9- -7- 8- The graph above is the function 'f(x)`. Let 's(x)=x^3*f(x)` s'(4)` = Preview

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Q: Assume that h[n]=(-1)"g[n]. What is the relation between H(2) and G(z) o HZ) = (- 1)" G(z) H(2)…

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A: Given query is to find the derivative of the expression.

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

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

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A: means f is decreasing for x&gt; - 1   means f(x) is concave up on both sides of x=-1

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Q: 4) Find fog, gof , f+g and fg where f (x) = x^2 + 1 and g(x) = x + 2, are functions from R to R

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Q: In Problems 9 and 10, find the indicated quantity for y = f(x) =5 – x² and interpret that quantity…

A: Consider the function  f(x)=5−x2

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Q: how do i get number 3

A: Expanded the expression of f(x) first then used the exponent rule to find the derivatives.

Q: prove that P(X)=P(X|F)P(F) + P(X|F')P(F')

A: