In which of the following set the function `f(x)=|x-2|+|x-4|+|x-6|` is always decreasing

In which set the function f(x)=|x-2|+|x-4|+|x-6| is always decreasing is

In which one of the following intervals is the function f(x)=x^(2)-5x+6 decreasing?

Show that the function f(x)=4x^(3)-18x^(2)+27x7 is always increasing on R

the function f(x)=x^2-x+1 is increasing and decreasing

The function f(x) = x^(3) - 6x^(2) +9x + 3 is decreasing for

If f(x) and g(x) are two positive and increasing functions,then which of the following is not always true? [f(x)]^(g(x)) is always increasing [f(x)]^(g(x)) is decreasing, when f(x) 1. If f(x)>1, then [f(x)]^(g(x)) is increasing.

If f(x) is a real valued function, then which of the following is injective function ? (i) f(x) = x^(5) (ii) f(x) = x + sin x (iii) f(x) = x^(2) (iv) f(x) = e^(x) (v) f(x) = x^(3) + x^(2) + 4x + 4

The function f(x)=4x^(3)-6x^(2)-72x+30 is strictly decreasing on interval.