document.write( "Question 914236: f(x)=-2|-3x-6|+4\r
\n" ); document.write( "\n" ); document.write( "graph and find domain and range.\r
\n" ); document.write( "\n" ); document.write( "This is the question on my quiz today. Im not sure that it was +4 but i think it was.\r
\n" ); document.write( "\n" ); document.write( "can you please show table of values and the process, I was really lost.
\n" ); document.write( "

Algebra.Com's Answer #554960 by josgarithmetic(39617)\"\" \"About 
You can put this solution on YOUR website!
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. \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "More useful is to analyze the function and graph it from knowledge about the function.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "There is a critical x value, \"-3x-6=0\"
\n" ); document.write( "\"x%2B2=0\"
\n" ); document.write( "\"x=-2\" at which a corner occurs.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "When -3x-6>=0,
\n" ); document.write( "\"f%28x%29=-2%28-3x-6%29%2B4\"
\n" ); document.write( "\"f%28x%29=6x%2B12%2B4\"
\n" ); document.write( "\"f%28x%29=6x%2B16\"
\n" ); document.write( "Corresponding to \"x%3C=-2\".\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "When -3x-6<0,
\n" ); document.write( "\"f=-2%28-1%29%28-3x-6%29%2B4\"
\n" ); document.write( "\"f=2%28-3x-6%29%2B4\"
\n" ); document.write( "\"f=-6x-12%2B4\"
\n" ); document.write( "\"f=-6x-8\"
\n" ); document.write( "Corresponding to \"x%3E-2\".\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Each of those is a linear equation, but a corner occurs at x=-2.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"graph%28300%2C300%2C-10%2C10%2C-10%2C10%2C-2%2Aabs%28-3x-6%29%2B4%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "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....\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "____x____________y=f(x)=-2*abs(-3x-6)+4
\n" ); document.write( "___-4__________________-2abs(-3(-4)-6)+4
\n" ); document.write( "___-3__________________
\n" ); document.write( "___-2__________________fillin the rest...
\n" ); document.write( "___0
\n" ); document.write( "____1
\n" ); document.write( "____2
\n" ); document.write( "
\n" );