Find the minimum value of `|x|+|x+1/2|+|x-3|+|x-5/2|dot`

Find the minimum value of f(x)=|x+2|+|x-2|+|x|.

The minimum value of 2x^2 +x-1 is

The minimum value of y=5x^(2)-2x+1 is

Find the maximum value and the minimum value and the minimum value of 3x^4-8x^3+12 x^2-48 x+25 on the interval [0,3]dot

Find the minimum value of (a x+b y), where x y=c^2dot

Find both the maximum and the minimum value of 3x^4-8x^3+ 12 x^2-48 x+1 on the interval [1,4] .

Find both the maximum and the minimum value of 3x^4-8x^3+ 12 x^2-48 x+1 on the interval [1,4] .

If x in R , find the minimum value of the expression 3^x+3^(1-x)dot

If x is real, then find the minimum value of (x^(2)-x+1)/(x^(2)+x+1) .

If the maximum value of ||x-3| - |x-2|| is a and minimum value of |x-1| + |x-2| is b, then find the value of (a+b).