G1. With paper and pencil, sketch the graph of a function y = f (x) with the following properties: domain: (-∞, -3) U(-3,-1) U(-1,00); f'(x) >0 for - 13, f'(x) <0 for x<-3 or -30 for -32, f"(x) <0 for x<-3 or -2

Q: f(x) =4x^3 -24x^2 -60x a. find all values of x that correspond to horizontal tangent lines. b.…

A: GIVEN FUNCTION  IS f(x)=4x3-24x2-60x   Now first order derivative be f'(x)=12x2-48x-60=0 Solution a:…

Q: The function f is defined as f(x) = {(-3x+1), -2 2 1. Find the domain and intercepts of f. Then…

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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: solve f´(2) if f(x) = x^3 – 6x^2 + 9x + 3 a).  For which x is the function decreasing? Show using…

A: According to the given information,

Q: A ball is thrown from the top of a wall onto horizontal ground. The path of the ball is modelled…

A: The path of the ball is given by the below function. fx=6+8x−x2 To determine the height from which…

Q: Is function f even, odd, or neither? f(x)=3|x|+5x^3

A: Find f(x) is even, odd, or neither.

Q: es of f'(-7), f'(-4) & f'(-2)

A: at x= -7 graph is increasing At x = -4 graph gives local Maxima At x = -2 graph is decreasing

Q: Please

A: For concave downward, f''(x) &lt; 0 f(x) = (1-1/x)2 = 1 - 2/x + 1/x2 f'(x) =2/x2 - 2/x3 f''(x) =…

Q: Use the graph of f(x) to find the interval where f''(x) > 0. Ⓡ 3- 2- 1- ms -5 -4 -3 -2 -1 1 3 4 5 A.…

A: Here we have given the curve of f(x)  Now to determine all x value where  f"(x) &gt; 0

Q: Find the equation of the slant asymptote for the function f(x)=x^2-x/x-2 y=

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Q: 1. + + -1 1 2 3. a. Use the graph to explain why, for h > 0, f(a – h) – f(a) -h f(a + h) – f(a) <…

A: The formula for f’(x) for f(x) = 2x is given asddxax=axlnaif a=2 then:ddx2x=2xln2f'x=2xln2

Q: Ay Use the given graph of y = f(x) to evaluate the following. (a) f(-3) (b) f(2) (c) f(0) (d) f(-3)…

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Q: Find the absolute maximum and minimum value of the function  f(x) = x / 49 + x^2

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