Given the function f(x)= - (x+4)³, which of the following statement talks about its relative and absolute extrema at interval [-4, -3]? A. There are no relative and absolute extrema. B. Absolute and relative maximum at the point (-4,0); absolute and relative minimum at the point (-3,-1) C. relative maximum at the point (-4,0); relative minimum at the point (-3,-1); no absolute extrema D.absolute maximum at the point (-4,0); absolute minimum point at the point (-3,-1); no relative extrema

Q: What is the absolute minimum on the interval [-2,1] for f(x) = 6x³ + 6x² – 6x + 14? A 1/3 B) 2 -6 -1

A:

Q: Given the function -)-- which of the following statement talks about its relative and absolute…

A:

Q: Given the function f(x) = - (x+4)3, which of the following statement talks about its relative and…

A: The given function is; f(x) = -(x+4)3

Q: Given the function f(x) = - (x+4)3, which of the following statement talks about its relative and…

A:

Q: 3:- Find the maximum value of the function f(x, y) = x²y on the line x + y = 3.

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

Q: Find the absolute maximum coordinate and absolute minimum coordinate of the function below on the…

A: Given information:The given piecewise function is show below:

Q: Find the absolute maximum and absolute minimum values of the function, if they exist, over the…

A: Let us consider the given function f(x). The maxima and minima is obtained as, If f''(x)>0 then…

Q: Given the function yx-4x. Determine 1. intervais of increasing and decreasing points of local…

A:

Q: Given f(x) = x^3 - 27x + 5, list the interval (a,b) where f(x) is decreasing, AND at what x-value…

A:

Q: Explain why the function f(x)=xe^(-x^2) has an absolute maximum and minimum on the interval [−2, 2].

A:

Q: Given the function f(x) = - (x+4)3, which of the following statement talks about its relative and…

A: Given the function f(x)=-x+43 To find absolute and relative extrema at -4,-3

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

A:

Q: Given the function f (x) = - (x+4)³, which of the following statement talks about its relative and…

A: Please see the below picture for detailed solution.

Q: Q1- Find any local maximum and local minimum values and sketch the curve: x? + 1 f(x) = x2. - 1

A: Given that  f(x)=(x^2+1)/(x^2-1) To find the local maximum and local minimum

Q: Find the absolute maximum and minimum of f(x)=x² - 3x on the interval [-1, 3]. Express your answer…

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

Q: Find the absolute extrema of the function on the closed interval. 9x2 g(x) [-2, 1] х — 2 minimum (х,…

A:

Q: Given the function f (x)= - (x+4)3, which of the following statement talks about its relative and…

A: We will use 2nd derivative test to find extrema of function.

Q: What is the absolute maximum on the curve x2 4х — 7 on the interval [-7, -3]?

A:

Q: What is the relative maximum value of the function f (x) = 2/x – x?

A: Note: - “Since you have asked multiple questions, we will solve the first question for you. If you…

Q: Suppose that a function f(x, y) attains an absolute minimum at the point (2, -3), and an absolute…

A: Given that f(x,y)  attains absolute min at (2,-3) f(x,y)  attains absolute max at (-3,2) The new…

Q: For the function f(x)= 6x-20arctan (x/3) find the absolute maximum and the abusolute minimum on the…

A:

Q: On the graph of f(x)=sin x and the interval [-27,0), for what value of x does f(x) achieve a…

A:

Q: Determine where the absolute extrema of f(x) = 32/3 – 2x on the interval [-1, 1] occur. 1. The…

A:

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

A:

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

A:

Q: Find the absolute maximum value of f(x) = x2 – 2x + 10 over the interval 0, 3 -

A: Find your answer below

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

A: find critical points and find function of the value at the end points and critical point the min…

Q: Find the maximum and minimum values of the function y 32t-t on the Interval [4, 61. %3D maximum…

A:

Q: 2. Find an equation and sketch the graph of the level curve of the function f (x, y) = 16 – x² - y2…

A:

Q: Find the exact value for the absolute minimum of the function y=x*

A: The given function is y=xx

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

A:

Q: f(x) = x2 + 4

A: Given: fx=xx2+4 To Find: a. Interval for which f(x) is increasing.b. Minimum Valuec. Point of…

Q: Find the absolute extrema of the function on the closed interval.                            y =…

A: y = 3x2/3 − 2x,                                   [−1, 1]   absolute extrema of the function = ?…

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

A: Given function is f(x) = x3 - 3x2 ; -2 ≤ x ≤ 4 We have to find its minimum value.

Q: Given the function f(x) = - (x+4)3, which of the following statement talks about its relative and…

A:

Q: Given the function f(x)=x^(3)-x^(2), a relative maximum point occurs at x= ?

A: Let f(x) be the given function and c be the critical point of f. If f"(c)<0 then f has relative…

Q: Determine the absolute maximum points given the function at the close interval [a, b] g(x) = (x+2)3…

A:

Q: Given the function f(x)= - (x+4)3, which of the following statement talks about its relative and…

A:

Q: Find the absolute maximum and minimum values at the indicated interval f(x)=x^2-6x-3 ;[1,6]

A: Given function is: First find the critical points of the function by putting:

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

A:

Q: Suppose that the function y=f(x) is increasing on the interval (-1,5). Over what interval is the…

A: The x-5 is offsetting the input of x. The beginning of the function increase is at x-5=-1 and the…

Q: At which value does the function g(x)= 3x^4 - 4x^3 attain a minimum and what is the minimum value?.

A:

Q: · Explain why the function f(x) interval [-2, 2]. Find the absolute maximum and minimum values. =…

A:

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

A:

Q: Find the absolute minimum and maximum value for the function on the given interval f (x) = x – 3x2 +…

A:

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

A: Given that : The function f is  fx=13x3-4x   ,..........(1) To find: The value of x∈-5, 5 for which…

Q: Find the absolute extrema of f(x) = 2x5 on the interval |-5,-3]. %3D fx) = is the absolute maximum.…

A: Given: fx=2x45 And the interval is -5, -3.

Q: Find the absolute maximum value of f(x)=(x)(x-1)(x+1) on the interval [-1,1].

A: Definition used -   Absolute maximum value of function - First we equate the first derivative of…

Q: Find the absolute maximum and minimum values of f(x) = 2x³ – 36x2 + 120x -8 on the interval [0, 12]…

A: