If f(1) =1 and f (x) 2 3 for 1

Q: 11. Find the absolute extremum of f (x) = 4- x3, where -2 < x< 1

A: Given: The function is  f(x)=4-x3,  -2≤x≤1   To determine: The absolute extremum of the function…

Q: 6. Find the absolute minimum and maximum of the function f(x) = x° – 12x+5 interval [0, 3]. on the

A: The function is given by fx = x3-12x+5 To evaluate : The absolute maximum and the absolute minimum…

Q: Find the length L of the graph of 3 ( a) f(x)=x/2 +1 for 0<x< 4

A: Since you have asked multiple questions in single request.so we will answering only first question.

Q: The critical points of the function f(x)= 3x -36x+1 are

A: The critical points of a function are the points at which the function is defined but its derivative…

Q: 4. Find the points of local maxima and minima for the function f(x) = x* – 18x2 – 9

A: To Determine: Find the points of local maxima and minima for the function…

Q: find the critical points for the function f(x)= 2x³ – 3x² – 72x-11

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Q: Find the absolute minimum and the absolute maximum of the function on the interval [0,3]. f(x)=x^2…

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Q: 3x+8x74 F(x)=(7x-K x<4 X=4 11

A: Given f is continuous at x=4

Q: Find the absolute extreme of f(x)=x^3-12x on the closed interval [0,4]

A: for finding critical points take f'(x) = 0 then find the function value at the critical points and…

Q: Find the intervals in which the function f(x)=x' -9x² +24x+15 is increasing/decreasing. Also find…

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Q: entiable at x = 1. What is f'(1)?

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Q: If n is positive and even, where is the graph of f(x) = xn increasing and where is it decreasing?

A: For f(x)= xn  where n is positive and even. for these type of function the general graph is given…

Q: 6. Find the absolute minimum and maximum of the function f(x) = x° – 12x +5 on the interval [0, 3].

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Q: Find the absolute maximum and minimum values of ƒ(x) = x2 on[-2, 1].

A: Given,  fx=x2 on −2,1

Q: 2. Find the absolute maximum and minimum values of f(x)= x³ – 3x +1 over the interval [0, 3].

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Q: What is the length L of the interval on which the function f(x)=x4e−x is increasing?

A: Given

Q: Find the critical points of the function f(x)=8x3−x4.

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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: In the fucntion:  f(x)= (12-3x)(e^x)  When is the function concave up and concave down in interval…

A: Given,f(x)= (12-3x)(e^x) By definition,

Q: If I have f^-1(x)= -x+1 how can I find f(x)?

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Q: Find the absolute maximum or minimum if it exists. 3. f(x) = 2x2 + 3x – 2 4. f(x) = 1 – x – x2

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Q: 6. Find the absolute extrema of the function f (x) = 7x² + 1 on the closed interval [-1,2].

A: We need to check value of f(x) on critical points and boundary values of interval to find absolute…

Q: 1) Find the Absolute Maximum and Absolute Minimum for f(x) = x³ 9x² +24x on [0,5]

A: At absolute maximum and minimum of a function y=f(x), its first derivative is zero, i.e. f'(x)=0 (a)…

Q: Find the value for k so that the function will be continuous at x = 1. - 5x2 - 30x + 35 - 10 if x <…

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Q: The function f(x) = 4 – 7x* has an absolute maximum value of and this occurs at x equals

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Q: Find the x-coordinate of the absolute maximum and absolute minimum for the function 9. f(x) = 10x +…

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Q: Find the absolute maximum values of f(x) = 2x^3 +  3x^2 + 4 on the interval [-2,1].

A: Given: f(x) = 2x3 +  3x2 + 4

Q: A rectangle is constructed under the graph of f(1) = 4x with one corner at (8, 0) and one corner on…

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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…

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Q: Where is there a local maximum on the graph of the piecewise function f(x) = 2x + 5 if x 8?

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Q: 6. Obtain the TSE of f(x)=2x-² in powers of (x-1).

A: Solution is here

Q: Find a formula for a function that has vertical asymptotes x = 3 and x = 9 and horizontal asymptote…

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Q: Consider the function f(x) = -x/(9x^2 + 1) where 0 ≤ x ≤ 2 What is the absolute maximum ? At what x…

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Q: 3. Find the absolute maximum value of the function f(x)=- 1+x2

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Q: 1) Find the absolute maximum and absolute minimum for f(x) = x* – 18x² – 2 on the closed interval…

A: To find absolute maxima and absolute minima for fx=x4-18x2-2;     x∈-2,4

Q: Find the specific that h (-3) =7 function satisfies hlx)こ 6-5x+x and

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Q: Find the absolute maximum value of f(x)=3x^4−4x^3−12x^2+1 on the interval [−2,3]

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Q: Find the absolute maximum and absolute minimum values of f(x) = 3x^4 +4x^3 −12x^2 +1 on the given…

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Q: Find the absolute extreme values of f(x) = 2x3 - 6x +3 on the interval [0, 3]. |

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Q: entiable at x = 1. What is f_(1)?

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Q: Suppose f(x)=(x−5)(x+4) Solve (x−5)(x+4)=0 for x. What x-value produces a maximum (or minimum)…

A: Given: x-5x+4=0 To Find: Maximum and minimum value of fx. Concept: Suppose that x=c is a critical…

Q: Find the value for k so that the function will be continuous at x = -4. f(x) = 7x + 47 -x² + 18x81+k…

A: Topic = Functions

Q: This extreme value problem has a extreme values of the function sub f(x, y) = 4x + 8y, x2 maximum…

A: Method of Lagrange's multiplier: The Lagrange multiplier method is a straightforward and elegant way…

Q: x+2 for 4. Graph. f(x) ={-V4 – x² for -2 sxs2 (-x(x-3) for x 2 f(x)t

A: Consider the function  f(x)=12x+2                 for x&lt;2−4−x2            for−2≤x≤2−xx−3…

Q: The line tangent to the graph of g(x) = x³ – 4x +1 at the point (2, 1) is given by the formula L(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…

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

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