Question 655172
{{{f(x)=4abs(x-4)}}}

assuming {{{x}}} is real:

{{{f(x)=4sqrt(abs(x-4))^2}}}

 global minimum: min{.{{{f(x)=4abs(x-4)}}}.} is at {{{x=4}}}


{{{ graph( 500, 500, -15, 25, -15, 25, 4abs(x-4)) }}}

Increasing? Decreasing? Constant? On?

({{{-infinity)}}}, {{{4}}}]

Thus function is decreasing on this interval in its domain.


[{{{4}}}, {{{infinity}}})

Thus function is increasing on this interval in its domain.

The function is continuous on its entire domain ({{{-infinity}}},{{{infinity}}})