document.write( "Question 1092613: Express the function f(x) = abs(x) + abs(x-2) without using absolute value signs. \n" ); document.write( "

Algebra.Com's Answer #707238 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
You can use a piecewise function.
\n" ); document.write( "Break up the function into three regions.
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\n" ); document.write( " $\"x%3C0\"$ , $\"m=-2\"$
\n" ); document.write( " $\"0%3C=x%2C=2\"$ , $\"m=0\"$
\n" ); document.write( " $\"x%3E2\"$ , $\"m=2\"$
\n" ); document.write( "So,
\n" ); document.write( " $\"x%3C0\"$ ,
\n" ); document.write( " $\"y-2=-2%28x-0%29\"$
\n" ); document.write( " $\"y-2=-2x\"$
\n" ); document.write( " $\"y=-2x%2B2\"$
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\n" ); document.write( " $\"0%3C=x%3C=2\"$ ,
\n" ); document.write( " $\"y=2\"$
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\n" ); document.write( " $\"x%3E2\"$ ,
\n" ); document.write( " $\"y-2=2%28x-2%29\"$
\n" ); document.write( " $\"y-2=2x-4\"$
\n" ); document.write( " $\"y=2x-2\"$ \r
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