Sketch the graph of a continuous function that satisfies the following conditions: f'(x) > 0 on (-∞0,2) ƒ'(x) <0 on (2,∞) f"(x) > 0 on (-1,1) f'(x) <0 on (-∞, −1) and (1, ∞) -5 -4 -3 -2 -1 5 4 3 2 1 -1 -2 -3 + 3

Q: Find any local maximum & local minimum  of f(x)=-0.4x3-0.6x2+3x-4 on the interval (-6,4)

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Q: Find the absolute maximum/minimum if any of f (x)=x' +3x² +1 on the interval [-3, 2].

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Q: -2x² √4-x² O(-∞, -√2) and (√2,00) O[-2, -√2) and (√2, 2] Given f'(x)= O(-2,2) O(-√2, √21 determine…

A: Function increasing and decreasing.

Q: f(x)=-(x-1)2 use f'(x) to find decreasing interval

A: f(x)=-(x-1)2 = - (x2 - 2x + 1) = 2x - x2 - 1

Q: Show the graph that satisfies all of the given conditions. Please explain your answer.  f'(-2) =…

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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: 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: -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: Sketch a graph of the function that satisfies all of the given condition. f'(1) = f'(-1) = 0, f'(x)…

A: f'(1)= f'(-1) =0 When derivative is 0 then there will be maximum or minimum at x=1  and x=-1…

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: Select the graph of a function f that satisfies f' 0 on (-0, -1)U(-1, 0).

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

Q: Let f' (x) 0 for all x with -o∞ f(c) More information is needed.

A: Given  Let f'x&lt;0 and f''x&gt;0 for all x with -∞&lt;x&lt;∞ Let a,fa and  c,fc be two points on…

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

A: Definitions: 1.  If the first derivative f' is positive, then the function f is increasing. 2.  If…

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: Sketch the possible graph of a continuous function, f, that has domain [-3, 3], where f(-1)=1 and…

A: Here We use First derivative test to determine the nature of f(x)

Q: Sketch a graph, f such that f(-2)=4, f(3)=-2, f'(-2)=0, f'(3)=0, f'(x)&gt;0 on (-infinity, 2) and…

A: Given that

Q: Find f', f'', f''' and f(4) for the function. f(x) = x* – 3x - 2x-1 4 f'(r)

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