Let ƒ(x) = x² + 2 x – 2. Find all the values satisfying f(x) < x² + 2. - NOTE: Enter an inequality such as “r<1". Use an exact value.

Q: The function f(x)=12-6x4 has an absolute maximum value of _____________ and this occurs at x equals…

A: Given, Function f(x)=12-6x4

Q: ) Calculate the interval ((x– 2s,x+2s) and, hence find the number of observations fall in the…

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Q: The absolute minimum value of the function f(x) = 4x2 – 8x + 8 over the interval [0, 5] O 4 O 5 O 6…

A: To find absolute max/min we have to find local max/min in a given interval and also function value…

Q: The absolute minimum value of the function f(x) = 7x2 - 14z +9 over the interval [0, 8] O 10 O 2 O…

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Q: Find the maximum value of the function f(x) = x² . – x within the interval0 < x < 2. -

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Q: Find the absolute maximum value of p(x)=−x^2−x+1 over [−1,1].

A: Given function is Differentiating with respect to x To find critical numbers of p(x)  That is ,…

Q: find the extreme values on the interval f (x) = x(10 − x), [−1, 3]

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Q: For what value of x does the function f(x) =x³ 4x attain the absolute minimum %3D in the interval…

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Q: Find the positive number x such that the sum of x and its reciprocal is as small as possible. Does…

A: Given the positive number is x

Q: The function f(x) = x8 + 4x3 –- 7x + 13 has where the absolute minimum occurs, correct to

A: Given, the function        f(x)=x8+4x3-7x+13

Q: 2. Given that f(x) = Vx+1 and g(x) =x² -9, find |(x) and give its domain in interval notation.

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Q: The absolute minimum value of the function f(x) = 4x² – 8x + 3 over the interval [0, 5] O 1 O 3 o -1…

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Q: Use the algorithm for finding extreme values to determine the ABSOLUTE MAXIMUM and ABSOLUTE MINIMUM…

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Q: The absolute minimum value of the function f(x) = 9x² – 18x + 5 over the interval [0, 10] - O 5 3 O…

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Q: Find the location of the maximum absolute extremum for the function. O A. x=5 A (x) 6- B. x=3 O C.…

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Q: Find the absolute minimum value of f(x) = + 2 In x + 5 for - < x < 5.

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Q: For what value of x does the function f(x) = 1/3 x3 - 4x attain the absolute minimum in the interval…

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Q: Suppose that f(x) is a continuous function with the following values: 2 3 4 5 f(x) 2 -5| 9 5-9 1 -8…

A: Given that fx is continuous function. We draw the graph from given data

Q: Find the absolute maximum of h(x)=x^2−x−2 over [−3,6].

A: Given query is to find the absolute maximum for function h(x) ove the interval  [−3,6].

Q: Let f(x)=-4cosx and g(x)=2cosx+3 for 0&lt;x&lt;2pi solve for f(x)&gt;(g(x) on [0,2pi]. Write the…

A: Sketch the graph of -4cosx&gt;2cosx+3 .

Q: . If f : (0, 3) → R is continuous, must its range be an open (possibly infinite) interval?

A: See the detailed solution below.

Q: 2) State the intervals of concavity in the function f (x) = x3 + 2x2 – 4x + 5.

A: We have to determine the intervals for concavity of the function: fx=x3+2x2-4x+5 To check the…

Q: What is the absolute minimum value of the function f(x) = x³ – 3x2 on the interval [-1, 4] ? а. 16 O…

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

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Q: A be a positive real number. If the absolute minimum value of f(x)= Ax³ – 45x³ on [0, ∞) occurs at x…

A: Applying critical point and absolute value test

Q: express the set of numbers x satisfying the given condition as an interval.       lxl ≤ 9

A: Given: x≤ 9 Express x≤ 9 in terms of interval

Q: Find the absolute minimum of the function f(x) = x²³ - 3x² on the interval - 1 ≤ x ≤ 3. -4 3

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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: Line of perfect. equality Wealth

A: Given: G=AA+B Y=x Y=2x

Q: Find the absolute maximum and minimum, if any, on the given interval, and state where those value…

A: a Given that, the function is fx=x2+1x+1x-5, -1,5. Find the first derivative of the given function…

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

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Q: If f : [0, 3] → R is continuous, must its range be a closed interval?

A: Given data: The expression for the function is f : [0,3]→R. The continuous image of the open bounded…

Q: Given the function f (x) value of f on the closed interval [-2,4]. -x° + 3x2 – 9, determine the…

A: We have to find absolute minimum valu

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: Find the location of the minimum absolute extremum for the function. O A. x= 3 Af(x) 6- O B. x = -5…

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Q: For what value of x does the function f(x) = -x3 – 4x attain the absolute minimum in the…

A: The value of function which is least in entire range of function is called minimum value of…

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: Find the absolute minimum if exists of f(x)=6x^2 −x^3 +8 on the interval 0≤x≤4

A: Use the first and second derivative test and find the absolute minimum of function f(x).

Q: Show that the f(x)=x-(In x)^{x} =0, has at least one solution in the interval [4, 5].

A: There are more than one question. We will solve the first one. Given, f(x)=x-[ln(x)]x, we need to…

Q: f(x) = (x - 1)(x – 5)? +1 %3D

A: GIVEN DATA : Function f(x)=x-1x-52+1        TO FIND : Absolute maximum and minimum on the interval…

Q: for what value of x does the function f(x) =1/3x3-4x attain the absolute minimum in the interval…

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Q: What is the absolute minimum value of q(x) = 2x -1 over -2, 5?

A: We have to find the absolute minimum value of q(x) = 2x2 - 1 over [-2, 5].

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: What is the absolute maximum and absolute minimum of the function f(x) = x3 – 3x2 – 9x – 6 in [0,5]?

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Q: What is the absolute max and min values of f(x)= x²ex on x€[-5,1]

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Q: 64 Find the absolute maximum and minimum, if either exists, for f(x) = x+-

A: Absolute maximum means greatest possible value and absolute minimum means least possible value.

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: There is an infinite discontinuity at x = 0 and f(0)=-2

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