Consider the following for the next two (02) items that follow :

Consider the function

f(x) = |x - 2| + |3 - x| + |4 - x|, where x ∈ R.

At what value of x does the function attain minimum value ?

Consider the following for the next two (02) items that follow :

Consider the function

f(x) = |x - 2| + |3 - x| + |4 - x|, where x ∈ R.

What is the minimum value of the function ?

Consider the following for the next three (03) items that follow :

Let f(x) = $\left|\begin{array}{ccc} \cos x & x & 1 \\ 2 \sin x & x^2 & 2 x \\ \tan x & x & 1 \end{array}\right|$

What is f(0) equal to ?

Consider the following for the next two (02) items that follow :

Let f(x) = sin[π²]x + cos[-π²]x where [.] is a greatest ‘integer function

What is $f\left(\frac{\pi}{2}\right)$ equal to ?