Question 914236
A table of values is just a way to begin learning how to pick points of functions and make a graph.  You can pick values yourself for x and evaluate the corresponding f(x) for each.  


More useful is to analyze the function and graph it from knowledge about the function.


There is a critical x value, {{{-3x-6=0}}}
{{{x+2=0}}}
{{{x=-2}}} at which a corner occurs.


When -3x-6>=0, 
{{{f(x)=-2(-3x-6)+4}}}
{{{f(x)=6x+12+4}}}
{{{f(x)=6x+16}}}
Corresponding to {{{x<=-2}}}.


When -3x-6<0,
{{{f=-2(-1)(-3x-6)+4}}}
{{{f=2(-3x-6)+4}}}
{{{f=-6x-12+4}}}
{{{f=-6x-8}}}
Corresponding to {{{x>-2}}}.


Each of those is a linear equation, but a corner occurs at x=-2.


{{{graph(300,300,-10,10,-10,10,-2*abs(-3x-6)+4)}}}


If you really want to make a data table for x and y, start with x at -4, pick increasing integer values up until about +4....


____x____________y=f(x)=-2*abs(-3x-6)+4
___-4__________________-2abs(-3(-4)-6)+4
___-3__________________
___-2__________________fillin the rest...
___0
____1
____2