4. True or False The graph of f(x) x-axis for x < 0 or x> 3,so the solution set of the inequality 2 0 is {x\xs 0 or x 2 3}. is above the X - 3 X - 3

Q: suppose that the selling price P of an item to the quantity x is given by  P=-1/4x +50.   0&lt;or= x…

A: R(x) = Price x Quantity = P(x).x

Q: 9. For the function k(x) = -(x – 6)² – 4 , identify the vertex and the axis of symmetry and state…

A:

Q: What is the absolute minimum value of the function f(x) = x' - 3x² on the interval [-2, 4] ? a. -4 O…

A:

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

A:

Q: ach inequality to it's graph. 3. y s-4 4. 3x +y > 8 5. -4x 2 2y + 8 18 16 16 14 4 14 12 12 :: -6 .4…

A: To plot the inequalities,  a) y ≤ (x/2) - 4 b) 3x + y &gt; 8 c) -4x ≥ 2y + 8

Q: Qn. The point of intersection of the graph of inequalities 2x+3y22 and X-yS3 is

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Q: For what value of x the function x2+y2 is minimum if x+y=20

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Q: 1/3 Find the ABSOLUTE MAXIMUM AND MINIMUM VALUES for f(x)=9x"3-2x n [-8, 27].

A: Given,           fx=9x13-2x  on  -8,27

Q: 6) Discuss the concavity of the graph of ƒ (x) = x* – 2æ³ + 1 and find its points of inflection.

A:

Q: Given the function f(x) = x^8 + 8/x on the interval [1, 5] What is the absolute minimum value? What…

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Q: Find the location of the indicated absolute extremum for the function. Minimum 4 4 3 -1 -2- X = -3 Ó…

A:

Q: Slx – 2| 2

A: Sketch the inequalities  x-2≤5y-4&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)…

A:

Q: Question What is the absolute minimum value of p(x) = 2x2 – x-2 over -2, 6]?

A:

Q: Discuss the circumstances under which the x intercepts of the graph of a quadratic function are…

A: For the solution and the explanation of the problem follow the next steps.

Q: Which statement is true for the graph of f(x) = 2x³ – 6x² – 48x + 24? %3D O (4, –140) is a relative…

A:

Q: 14. Find the minimum value of the function f(r) = x + 4x + 5. -2 5 1.

A: Given function: fx=x2+4x+5 To determine: Minimum value of the function.

Q: 6. a) Find the absolute maximum and the absolute minimum of f(x) = x – 2x for -8 < x < 27.

A: Part a,Given,          fx=x23-2x13  for  -8≤x≤27

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

A:

Q: 5. True or False The x-intercepts of the graph of a function y = f(x) are the real solutions of the…

A: Known fact: The x-intercepts of the graph of y=fx can be found by solving the equation fx=0.

Q: Find the maximum or minimum value of the function. h(x) =1/2x2 + 6x − 2 h(x)= Is this a maximum…

A: To find maximum or minimum of a function, we will take first derivative of f(x) to find critical…

Q: Solve the following optimization problem using algebraic methods. Maximise f(x1,x2)=3x1+2x2…

A: We have to add the slack or surplus variables in the given linear programming problem to convert it…

Q: 8. If h(x) = -x3 +4x2 and k(x) is graphed below, what is the value of h(k(-3))? -2- 2

A: If hx=-x3+4x2, and kx is graphed below, then to find the value of hk-3.

Q: ) Use the graph of the function to solve the inequality. a. f(x) > 0 1 05 2 45 b. g(x) < 0 -2 /1 2…

A: Given:

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: B- Find the extreme points of the function F-X, + (X+1)²+ (X+1)? Find the objective function to the…

A: Let us consider a function f(x,y) then the extreme point is obtained as  Find the value of…

Q: How do I graph f(x)=a(x-h)^2+k (a does not equal 0) on the conditions a&lt; 0, h=2 and the max value…

A: Given

Q: 1. Find the extreme value of the following function and check whether the extreme value is a maximum…

A: The stationary points are calculated by solving the equations: fx=0 , fy=0 together. The…

Q: A manufacturer finds that the revenue generated by selling x units of a certain commodity is given…

A: Recall the following. A quadratic function fx=ax2+bx+c can be expressed in the standard form…

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: What is the minimum of f (x) = (x + 3)2 − 4?

A:

Q: I O 5. Choose the correct graph of the inequality. 4n +y > 3 Jaxis 10 4.x + y 2 3 4] 2. -axis -10 -8…

A: The objective of the question is choose the correct graph of the given inequality.

Q: 4. Use calculus to find the absolute maximum value and the absolute minimum value of f(x) = x3 - 12…

A:

Q: Q,3 For function f (x) = V19 – x , L = 3,x0 = 10,€= 1. Find an open interval about x, on which the…

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Q: A manufacturer finds that the revenue generated by selling x units of a certain commodity is given…

A:

Q: Find all points of discontinuity. g(x) = | x +3, if x>2 !! 8x, if x<2

A: Consider the provided function, g(x)=x2+3,   if x&gt;28x,        if x&lt;2 Find all the points of…

Q: What is the minimum of the function y = -x° + 3x for x <-1? -4 O-2 4. O 2

A:

Q: The absolute minimum values of f(x) = x³ – 3x +1 -3sxs3 is a) 19 b) 2 c) - 1 d) – 17

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Q: 2. Which of the following inequalities matches the graph? x С. 1<x D. 1< x

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Q: Clearly indicate the region defined by the following inequalities on graph  X is less than equal to…

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Q: For what value of x does f(x) take on a minimum if f(x) = V 3 x² -2 What is the minimum value of…

A: Given that fx=3x2-2x+4Solution :if we have to find minimum value of function then f'x=0 and solve .…

Q: If the domain of f(x) = x2 – 2 is limited to {0,1,2,3}, what is the maximum value of the range?

A: The domain of a function f(x) are the set of x values for which the function f(x) is defined whereas…

Q: For what value of x does the function f(x) 4x attain the absolute minimum in the interval [-3,5]? А.…

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Q: 9) What is the vertex point f(x) (x+3)(x+7)

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Q: To find two real numbers whose difference is 24 and whose product is minimum, we can find the…

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Q: (2) Find all the points of discontinuity of the function S(x) = } x + 2 (x2 – 4 1<x< 3 x2 3

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Q: х — 2 Consider the function f(x) = x - 4 Use the graphing utitlity to graph f. (x- 2) (x - 4) f(x) =…

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

A:

Q: 1. Use calculus to find the exact absolute maximum and minimum values of f(x) = (x² + 2x - 3)2 on…

A: We have to find the solution