Given the following function:

$f(x)=\{\begin{array}{cc}2x,& 0x<mn\; id="EditorElement\_2624694">2</mn>\\ x^2,& 2x<mn\; id="EditorElement\_2624721">4</mn>\\ 30**ln(\frac{4}{x})+16,& 4x<mn\; id="EditorElement\_2624772">6</mn>\end{array}$

Write a script that evaluates the function for values in $x$ starting at $0$ and increasing in steps of $0\mathrm{.}2$

until $6.$ The program should return a plot of the function against the values of $x,$ e$.$g$.$ plot$(x,f(x)).$

Note: Use either for or while loops to test the values in $x.$