The sum of the absolute minimum and the ...

The sum of the absolute minimum and the absolute maximum value of the function `f(x)=|3x-x^(2)+2|-x` in the interval `[-1,2]` is :

A

`(sqrt(17)+3)/(2)`

B

`(sqrt(17)+5)/(2)`

C

5

D

`(9-sqrt(17))/(2)`

AI Generated Solution

Similar Questions

Explore conceptually related problems

Find the absolute maximum of the function f(x)=x^3+3x^2-9x+7 in the interval [-4,2] .

Maximum value of the function f(x) =(x)/(8)+(2)/(x) on the interval [1,6] is

The greatest value of the function f(x)=2.3^(3x)-3^(2x).4+2.3^(x) in the interval [-1,1] is

The mean value of the function f(x) = (1)/( x^2 + x) on the interval [1, 3//2] is

Find the absolute maximum and absolute minimum vlaues of a function f given by f(x)=2x^(3)-15x^(2)+36x+3 on the interval [0,6] .

Find the absolute maximum and the absolute minimum value of the function given by : f(x)=sin^(2)x-cos x, x in [0, pi].

Find the absolute maximum and absolute minimum vlaues of a function f given by f(x)=2x^(3)-(33x^(2))/(2)+36x+2 on the interval [-1,9] .

The minimum value of the function f(x) = 2|x - 1| + |x - 2| is

Find the absolute maximum and absolute minimum values of f(x)=(x-1)^(2)+3 in [-3,1]

Find the absolute maximum and absolute minimum values of f(x)=4x-(x^(2))/(2) in [-2,4.5]