(-*+3 2. g(x) = {1x – 1|| (3(x – 2)² + 1 - 3 < x < 2 x 2 2 Domain: 21 Range: 1 -6 -5 -4 -3 -2 -1 0 2 3 4 5 6 g(-3) = %3D 2- -3- g(-1) = -4- -5- g(4) = %3D

Q: g(x)-=x^2+4x-6- 10- f(x)-= 2^x- -5- 15 -10 -5 -5- 10 g(x) = -10 when x = 3 g(-2) = -10 g(-5) - f(0)…

A: The function is the mathematical expression that tells the relationship between one variable and…

Q: -10 f(x) = -8 -6 Equation, inequality, interval notation 2x - 3, x<-2, [-2,3) 8 1 113 x + 4, -2 1…

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Q: Suppose that 2 ≤ f '(x) ≤ 5 for all values of x. What are the minimum and maximum possible values of…

A: Given that, Suppose that 2 ≤ f '(x) ≤ 5 for all values of x. What are the minimum and maximum…

Q: (4.1) Find the absolute extrema of the function f (x) = 2x3 -9x2 - 24x-2 on the interval [-2,0]. [2…

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Q: Find the absolute maximum value of g(x)=−2x^2+2x+2 over [−3,5].

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Q: In Problems 21–32, tell the maximum number of real zeros that each polynomial function may have.…

A: "Since you have asked multiple questions we will solve the first question for you. If you want any…

Q: 4. f( x)=2x'+7x-4 Vertex x-intercept(s) 5. f(x)=16x-64 Vertex x-intercept(s)

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Q: find the maximum and minimum values of the func- tion on the given interval y=2x2−4x+2,  [0,3

A: Given y=2x2-4x+2

Q: blem #1: Differentiatef (x ) = [(4 x4 -5 )(3 x2-9 x - 5 ) ]3 and solve f (2).

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Q: 14. Find the absolute maximum and the absolute minimum of f (x) = -x³ + 9x on [-4, 3].

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Q: 2. f(x) = (x + 1)² – 3 Vertex: Axis of Symmetry:

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Q: Describe the concavity of the functionf(x) = -- x² 3. .2 O The graph is concave down for x O The…

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Q: - X-1 0-x +x+ ix 0-x-r 23. x + x - x

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Q: Find the absolute maximum and minimum values ​​of f (x) = x ^ 3 -3x ^ 2 + 1 on the interval [-1 /

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Q: from the function f(x) = 3x4 − 4x3 − 12x2 + 5 Find the absolute extreme values of f on the closed…

A: To find out extreme values of f(x) i.e. maximum and minimum values, first we need to calculate…

Q: x+6 if x 2

A: Given that: f(x)=32x+6x&lt;-24-x2-2≤x≤2-(x-2)2x&gt;2

Q: If f(x) =x2-8x-3, find the maximum and minimum values of f on the closed interval [-3,5] O a. f (x)…

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Q: dæ - x² – 10a – 21 -x – 3 - In x + 7 -æ – 3 -In +C +C x + 7 A x + 7 æ + 7 -In -x - 3 +C -In -x – 3…

A: Here we will solve the given intigral,

Q: x²-4 f(x) = In2-3x-4,

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Q: G(-2) if g(x) = -x^2 + 4x + 1

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Q: f(x)=14(x-3)+1 g(x)=7(x+ 2)+1 f(x)=6(x+2)-3 g(x)=8(x- 3)+6 f(x)=3(x-1)+2/3 g(x)=3(3-x)-2/3 f(x)=-/,…

A: a) the function  f(x)=14(x-3)+1 is shifted 5 units left and is shrunk vertically by 12 to get the…

Q: (2) = 8 and f '(x) > 3 for 2 < xs7, how small can f(7) possibly be?

A: Topic:- calculus

Q: Suppose that  3 ≤ f ′(x) ≤ 4  for all values of x. What are the minimum and maximum possible values…

A: Given inequality is:  3 ≤ f ′(x) ≤ 4 To find: Minimum and maximum possible values of f(4) − f(1). To…

Q: 7. Find the absolute maximum and the absolute minimum off(x) = 2x³ – 3x - 12x + 5 on the interval…

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Q: 4. Find the absolute extreme values of f (x) = x²/3 (4 – x²) on the interval [-2, 2].

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Q: The profit function of Acrosonic company is given by P(x)=-0.02x^2+300x-200,000 dollars, where x is…

A:

Q: 1 -(x-6)* +5 f(x) = - 2 1 g(x): =-x -4 4

A:

Q: 7. Given the function 8(x)%3D4X' - 3x² +x-1, find g(0), g(-1), and g(x-x) |

A: Some important formulas (a - b)3 = a3 - 3a2b + 3ab2 - b3 (a - b)2 = a2 - 2ab + b2

Q: The function Ax) = -2x(x - 1)(x - 2)(x+ 2) %3D has 4 zeros. has a maximum O as x→-∞, y–-∞ all of the…

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Q: x4 x3 7. Find the critical points of f(x) =-- 3x? + 10 - 3x² + 10 4 3

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Q: B. Find the intervals of increasing/decreasing of the function f(x)=-- 4x +10x² -7. 4 Also find the…

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Q: 2. GIVEN g(x) = / x³-3x² + 3x-1/. FIND g (-4)

A: Formula: (a-b)3=a3+3a2(-b)+3a(-b)2+(-b)3 (a-b)3=a3-3a2b+3ab2-b3.

Q: Suppose that 2 < f '(x) < 3 for all values of x. What are the minimum and maximum possible values of…

A: Use the first inequality and integrate all the values from 2 to 5.

Q: Suppose that 2 < f '(x) < 3 for all values of x. What are the minimum and maximum possible values of…

A:

Q: 3. Find the intervals of increasing/decreasing of the function -4x' +16x² – 20.Also find the local…

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Q: 6. Suppose g(x) = 3+ Evaluate g-(-1) 2x – 3

A: This question is related to function and its inverse, We will solve it using given information.

Q: Let g(X)=x3-12x+7. The maximum value of (g) over the closed interval (-4,5) occurs at what X value?

A: we have to find the maximum value of the function g(x)=x3-12x+7 on the interval [-4,5]  For that, we…

Q: Suppose that 2 ≤ f '(x) ≤ 4 for all values of x. What are the minimum and maximum possible values of…

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Q: sgn (x + 3) if - x2 +9 - Vx² – 9 x 3

A: To solve the following problem

Q: f(x) = 4x - 1.8x2+1.2x3-0.3x4 Find the maximum using Golden-Section search (Xlower = -2, Xupper= 4…

A: Given: fx=4x-1.8x2+1.2x3-0.3x4 To find: Solution

Q: Find the absolute maximum and minimum of

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Q: In Problems 21–32, use Descartes’ Rule of Signs to determine how many positive and how many negative…

A: Use Descartes’ Rule of Signs to determine how many positive and how many negative zeros each…

Q: r(x)=x-2/x^2+2x+1 As x right arrow - infinity, r(x) right arrow As x right arrow infinity, r(x)…

A: Taking highest factor common from denominator and numerator evaluate the following limit

Q: The function f(r) = 4x' + 6x² – 672z +3 is decreasing on the interval ( It is increasing on the…

A: Let's find.

Q: F(x)=1/3x^3-1/2x^2-12x+4 Domain [-4,5] F’(x)=x^2-x-12

A: To find the correct option

Q: x +x-6 F(x)%3D at x= - x+3

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Q: 4 3 Find the maximum and minimum values of f(x) = x* + x° – 2 on the interval [- 2, 2].

A: Given that f(x)= x4 + x3 -2 and we find maximum and minimum value in the interval [-2,2]. Here i…

Q: A) The graph is increasing for -2 <x<3 B) The graph is negative for -3 <x <0 C) The graph is…

A: Graph is given

Q: Suppose that 2 ≤ f '(x) ≤ 4 for all values of x. What are the minimum and maximum possible values of…

A: