The function f (x) is defined below. What is the end behavior of f (x)? f(x) = 3x + 54x – 729x – 729 – 162x² + 27x² as x -00, y -0o and as x → 00, y → -oO as x -o, y o and as x → o, y → -0 as x -o, y -0 and as x → 0, y → ∞O as x -oo, y → o and as x o, y →∞

Q: (a): Find the critical points of the function f(x) = 8x² – 16x.

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Q: Determine the domain of the function f (x, y) In(3-y) 4- x2 – y2°

A: Given function is f(x,y)=ln(3-y)4-x2-y2 Domain is the set of values for which the function is real…

Q: Find the absolute maximum and minimum of f (x)=x* – 2x -x - 4x +3 on the closed interval [0, 4]. а.…

A: fx=x4-2x3-x2-4x+3 Differentiating wrt x, we get  f'x=4x3-6x2-2x-4 Putting f'x=0, we get…

Q: 1. F(X) = 2X3-6X2-18X+2   {-2,4}

A: Given:  F(X) = 2X3-6X2-18X+2   {-2,4}

Q: The function x2 f(x) = 1 - x has a local maximum when x = 2. Select one:

A: We will check if the given statement is correct.

Q: 4) Let f(x) = x* – 2x -1 be defined on the interval [-1,3]. Find the maximums and the minimums.

A: The given function is defined  f(x) = x4 - 2x2 - 1 Over [-1,3] To find minimum and maximum value of…

Q: 1. How to define the function, f(x, y) = 15x+4x*y+15y 3x+3y to make it a continues function?

A: We have to find the given function is continuous.

Q: The function f(x) = 2x3 – 42x? + 240x + 1 has derivative f'(x) = 6x² – 84x + 240. f(x) has one local…

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Q: Determine the absolute maximum and minimum values of f(x) = x²e on x = [-5, 1].

A: Given: fx=x2ex on x∈-5, 1 To find the absolute maximum and absolute minimum of the given function on…

Q: 2. Determine f'(1) for the function f(x) = (8x – 6Vx5 + 3) (x² – 9x² +) -

A: A detailed solution is given below

Q: For f (x) = 3x2 – 4x + 2, (a) find the absolute maximum and minimum on [-2,2] using Calculus %3D

A: The points of local minimum and local maximum can be obtained by differentiating the function and…

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

A: Given f(x)=2x2-8x-3 on [1,3]

Q: Find the absolute maximum and absolute minimum of the function f(x) = x2-4x +3 over [1, 4). %3D

A: Use derivative

Q: Let f(x) = x^2 −x −2. Using the Intermediate Value Theorem, explain why this function has (at least)…

A: The function is  f(x)=x2-x-2

Q: Let f (x) = 5x, g(x) = 2x² + 1, & h (x) = 6x + 2., find (go f) (x). Show your work using the…

A: fx=5x, gx=2x2+1, hx=6x+2

Q: The function f (x) = 3x² –4x-3 is continuous everywhere.

A: Given,             f(x)=3x2-4x-3

Q: 6. Determine the absolute maximum values of the function f(x) = x³ – 6x –1 where xe [-2,3]

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Q: f(x, y) = /4 – x² – y² + V1 – x? -

A: To find the domain of the function, f(x,y)=4-x2-y2+1-x2

Q: Differentiate the function f(x) = In(6x7 – 4x) + v2 – e3x. - -

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Q: Find ao of the function f(x) =÷(n - x)² 4

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Q: Determine any critical point(s) for the function f(x)=-3x2-9

A: For Critical Points We will Put F'(x)=0

Q: Find the absolute maximum and minimum values of f (x) = x³–6x²+5 on the interval [-3,5]. %3D

A: we find the absolute minimum and maximum value at the critical points and end point on the interval

Q: Find the absolute maximum and absolute minimum of the function f (x) = x³ – 3x²+8 on the interval…

A:

Q: Find ao of the function f(x) = (n - x)2

A: The given function is: f(x)=14π-x2

Q: Let f(x) = x² 4. Find f(3 - V13) – 6x – . %3D

A: Given:            fx=x2-6x-4 Find; f3-13 f3-13 =3-13 2-63-13-4 Simplify using : a-b2=a2-2ab+b2 3-13…

Q: Discuss the continuity of the function f(x) = {x2 − 3x if x < 2 2x + 4 if x ≥ 2 on the open…

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Q: Let f (x) = 2x and g (x) = 3x2 + 1, find(go f) (x). Show your work using the Equation Editor Tool.

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Q: -3x2 , f'(x) = 54x Let f(x) = (x2 – 9)2 x² – 9' -162(x2 + 3) (x2 – 9)3 and f"(x) = -

A:

Q: Find the absolute maximum and absolute minimum of the function f(x) r2-6x + 5 over (1, 6].

A: Given function: fx=x2-6x+5 To find: Absolute maxima and absolute minima over 1,6.

Q: 8. Determine the natural domain of the function Vx–1 f (x)= x²-3x+2 in interval notation.

A:

Q: find (f-g)x when f(x)=4-7x and g(x)=7x+1 a. (f-g)(x)=14x+5 b. (f-g)(x)=-14x+3 c.(f-g)(x)=-14x+5…

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Q: Find the absolute maximum and minimum values of 'f(x)=(2x)/(x^2+1)' on the interval [0,2]`…

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Q: 1. Let f (x) = 2x² – x – 1 and let g(x) = x – 1 Which statement is true?

A: Given, f(x)=2x2-x-1 and g(x)=x-1

Q: A company has identified that the revenue R for a particular product is given by the function f(x) =…

A: Solution is here

Q: Find and sketch the domain of the function. f(x, y) - In(4x2 - 4y²) y

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Q: Find (f - g)(x). f(x) = 2x – 2, g(x)= 4-x x-6 O 3x-6 2x -6 2x+6

A: Given problem:- Find (f- g)(x).   f(x) = 2x - 2, g(x) = 4 - x

Q: Let f(x) = 2x + 11 f (x) =

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Q: . Find the absolute maximum and minimum values of f(x) = 2x3 − 21x2-21X 2+ 60x + 1 on the closed…

A: We have f(x) = 2x3 - 21x2 + 60x + 1 We find its derivative w.r.t. "x", f'(x) = 6x2 - 42x +60 To find…

Q: Find the function f(x) = -4x^2 + 3x-1 1. F(-2)

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Q: snmɔ Suppose 3x2+5x-2 (x)) f(x) as a continuous function? Which piecewise function redefines x+2…

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Q: For the function f(x)=x^3-3x+1 defined on the interval -3 ≤x≤3. Find absolute maximum and minimum…

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Q: The range of f(x)= -/2-x² is %3D [-/2,0] O [0,/2] [-2,2] [2, 0) [0,2]

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Q: Find the minimum and maximum values of f (x) = x² – 8x + 10 on the interval [0, 7). Sketch the graph…

A: f(x) = x2 -8x+10

Q: Find f such that f'(x) = 8x + 3x - 3 and f(0) = 4. %3D

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Q: Find the critical and inflection points of the function f(x) = 4sin³x – 3cos²x

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Q: Find the absolute maximum and absolute minimum of the function f(x)=x^3-18x^2+96x+150 on the…

A: The function is given by fx = x3-18x2+96x+150 To evaluate: The absolute maximum and minimum of the…

Q: x=-2 of f(x)=√x²-1

A: Above question is solved.

Q: How did the function f(x) = -x^3 + e^x - 8 satisfy the intermediate value theorem? Show that f has a…

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Q: 3 Let f(x) = 4.x² 5 and g(x)= 3.x + 7, find. -

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Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.