Consider the piecewise function. [3x+34 xS-2 f(x) ={7 - 2 2 -2(4) What is f(-4) ? f(-4)=_ ||

Q: Find the absolute maximum and minimum values of the function f(x)=7x^2/3 ;[-1,1]

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Q: Find the absolute extreme values of the function on the interval. g(x) = -x 2+ 11x - 30, 5sxs6 %3D

A: Consider the function  g(x)=−x2+11x−30        ,5≤x≤6

Q: The critical point of the function f(x) = a – 6x² + 16x + 13 is %3D - (1, –4) (-2,4) (2, 4) (-2, –4)

A: The critical point of the function y=fx is the point where f'x=0. The power rule of differentiation…

Q: Find the absolute maximum and minimum values of the function f(x) = r'-6r +3 on the interval [-1,…

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Q: Зх-2 p) Find the domain of the function f(x) 3D 5x2+4x-1

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Q: What is f (-1) for the function given? f (x) = x2 - 3x + 8

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Q: The extreme points of the function f(x) = x3 – 6 x² + 9x + 1 are:

A: We have to find the extreme points of the function f(x) = x3 - 6x2 + 9x + 1 .

Q: f(x)= 2x² – 8x- 3 on the given interval [1,3].

A: Given f(x)=2x2-8x-3 on [1,3]

Q: The function f(x) = 2x ^ 3 - 3x ^ 2 - 36x + 2 has its maxima a

A: Introduction :

Q: Find the domain of the function.

A: First simplify the function using LCD

Q: Find the maximum or minimum value of the function. f(x) = 3 - 4x - x2

A: f(x) = 3 - 4x - x2

Q: ch that the function X-4 x 5. f (x) =

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Q: Find the domain of the function f(x) = %3D x2-4x -21

A: fx=2x2-4x-21

Q: Find the domain of the function. 4 + X g(x) = 1 - X

A: The given function is The domain of the function is set of input values for which the function is…

Q: Find the absolute maximum and absolute minimum values of the function f(x)=2x-13ln(8x)  on the…

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Q: Find the function f(x) such that f'(x)=3e-2x-6x2+1 and f(0)=2

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Q: Find the local minimum and maximum values of the function    f (x) =  3x4  -4x3 -12 x 2  +5

A: Given function is fx=3x4-4x3-12x2+5. Compute the derivative. f'x=3x4-4x3-12x2+5'=12x3-12x2-24x…

Q: Consider the function f(x) = 2x° + 9x- 108x + 3, - 6 < x < 4. This function has an absolute minimum…

A: f(x) = 2x3+9x2-108x+3f'(x) = 6x2+18x-108f'(x) = 0 6x2+18x-108=0 x2+3x-18=0(x+6)(x-3)=0x=-6,3 where 3…

Q: Find the all maximum and minimum values of the function f(x) = 4x3 – 6x2 + 8, given the domain…

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Q: 1 Find the domain of the function f(x) V4 - 2x – x²

A: fx=14-2x-x2

Q: Consider the function f(x) = 2x³ + 18x² 162x + 6, - 9 < x < 4. This function has an absolute minimum…

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Q: Find all values of x, if any, where the function f(x) = x5 - 5x3 - 20x - 2 has local maximum and…

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Q: The function f is defined as f (x) = 2. -4x+5x Find f(x+3).

A: given: fx=8-4x2+5x we know that for fx+3 we put x+3 in place of x in fx

Q: The function f(x) =2x² – 3.x² – 12.x is increasing on: |

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Q: Find f(0), f(-3), f(2x+3) for the function f(x)= -2x^2+x-1.

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Q: Find the absolute maximum and absolute minimum values of the function f(x) = x³ – 12x² – 27x + 10

A: to find the critical points take derivative=0

Q: 1. Find the domain and range of the function. f (x) = v3x – 2

A: Topic- range and domain of function

Q: Find all the local minima and/or maxima of the function. Show your work. f (x) = 2x3 + 5x² – 16x + 2

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Q: Find the local maximum and minimum of the function: f(x)=x^3-9x^2-21x+8

A: Consider the function: fx=x3-9x2-21x+8 Differentiate the given function with respect to “x” then,…

Q: find all relative extrema of the function  f(x)= -4x^2+3x+6

A: The given function is f (x) = -4x^2+3x+6.In order to find the relative extrema of the function f,…

Q: Find the domain of the function  f(x)= In(x^2+5x+6)

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Q: The maximum value of the function f(x)= x3-5x-4 occurs at

A: Given function fx=x3-5x-4

Q: Find the domain of the function. 3x 5) g(x) - 6) x2 -1 Vx-2

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Q: 1. If f(x) = 2x – x² and g(x) = |x – 3|, find the value of f(-2) + g(-2)

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Q: Consider the function f(x) = 2x³ + 27x² – 60x + 5, - 10 < x < 2. This function has an absolute…

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Q: Consider the function f(x)=2x^3+27x^2-60x+1, -10≤x≤2. Find the absolute minimum and maximum value…

A: Answer and explanation is given below..

Q: Find the local extreme values and points of inflection of the function: f(x) = -2x'+6x-3.

A: Given,     f(x)=-2x3+6x2-3

Q: Consider the function f(x) = 2x + 21x- 108x + 4, - 9 < x < 3. This function has an absolute minimum…

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Q: On what interval is f(x) = x³ + 3x² – 24x +7 decreasing? The graph is decreasing on the interval

A: Use first order derivative test to obtain the interval of decrease.…

Q: 3. Find the value of the function: If f(x) = 3x - 4x2 + 3x +4, find f(-3). %3D f(-3) =

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Q: The domain of the function f(x, y) = In(-x² -+1) is: 4 x² + 4 x² + y? > 4 1 x² + y2 <4

A: See the attachment

Q: Find the absolute extrema of the function g(x) = -10x/x^2+9 on the interval (-5,2)

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Q: The absolute Extrema of the function f(r) = -V-x² + 8x- 15 on its domain are .2

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Q: Consider the function f(x) = 2x + 9x² - 108x + 3, -6 < < 4. This function has an absolute minimum…

A: f(x) = 2x3 + 9x2 - 108x + 3,  -6≤x≤4

Q: Find the domain of the function f(x) = x2 -1 %3D

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Q: What is the degree of the function g(x)=-2x (2x-1)(x+1)*

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Q: the domain of the function f(x) = 3x - 2 is D= {x|x ≥ 1}. what is its range?

A: The given function is, fx=3x-2 The domain of the given function is given as, xx≥1