document.write( "Question 924258: Graph each absolute value function and state its domain and range\r
\n" ); document.write( "\n" ); document.write( "y=|2x-3|\r
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Algebra.Com's Answer #560746 by MathLover1(20850)\"\" \"About 
You can put this solution on YOUR website!
\"y=abs%282x-3%29\"\r
\n" ); document.write( "\n" ); document.write( "find several points, make table,plot points, and graph the function\r
\n" ); document.write( "\n" ); document.write( "\"x\"|\"y\"\r
\n" ); document.write( "\n" ); document.write( "\"-3\"|\"9\".....\"y=abs%282%28-3%29-3%29=abs%28-6-3%29=abs%28-9%29=9\"\r
\n" ); document.write( "\n" ); document.write( "\"-2\"|\"7\".....\"y=abs%282%28-2%29-3%29=abs%28-4-3%29=abs%28-7%29=7\"\r
\n" ); document.write( "\n" ); document.write( "\"-1\"|\"5\".....\"y=abs%282%28-1%29-3%29=abs%28-2-3%29=abs%28-5%29=5\"\r
\n" ); document.write( "\n" ); document.write( "\"0\"|\"3\".....\"y=abs%282%280%29-3%29=abs%280-3%29=abs%28-3%29=3\"\r
\n" ); document.write( "\n" ); document.write( "\"1\"|\"1\".....\"y=abs%282%281%29-3%29=abs%282-3%29=abs%28-1%29=1\"\r
\n" ); document.write( "\n" ); document.write( "\"2\"|\"1\".....\"y=abs%282%282%29-3%29=abs%284-3%29=abs%281%29=1\"\r
\n" ); document.write( "\n" ); document.write( "\"3\"|\"3\".....\"y=abs%282%283%29-3%29=abs%286-3%29=abs%283%29=3\"\r
\n" ); document.write( "\n" ); document.write( "\"5\"|\"7\".....\"y=abs%282%285%29-3%29=abs%2810-3%29=abs%287%29=7\"\r
\n" ); document.write( "\n" ); document.write( "plot these points and graph:\r
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\n" ); document.write( "\n" ); document.write( "domain:\r
\n" ); document.write( "\n" ); document.write( "\"R\" (all real numbers)\r
\n" ); document.write( "\n" ); document.write( "range:\r
\n" ); document.write( "\n" ); document.write( "{ \"y\" element \"R\" : \"y%3E=0\" } (all non-negative real numbers)\r
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\n" ); document.write( "\n" ); document.write( "2.\r
\n" ); document.write( "\n" ); document.write( "\"x%2B3=abs%28y%29\"=> \"x%2B3+=+sqrt%28y%5E2%29\"=> \"x%2B3+=+y\" or \"x%2B3+=+-y\"\r
\n" ); document.write( "\n" ); document.write( "\"x%2B3+=+y\"
\n" ); document.write( "\"x%2B3+=+-y\"=>\"-x-3+=+y\" \r
\n" ); document.write( "\n" ); document.write( " \r
\n" ); document.write( "\n" ); document.write( "\"x\"|\"y\"\r
\n" ); document.write( "\n" ); document.write( "\"-3\"|\"0\".....\"abs%28y%29=x%2B3=-3%2B3=0\"\r
\n" ); document.write( "\n" ); document.write( "\"-2\"|\"1\".....\"abs%28y%29=x%2B3=-2%2B3=1\"=>\"y=1\" or \"y=-1\"
\n" ); document.write( "\"-2\"|\"-1\"\r
\n" ); document.write( "\n" ); document.write( "\"-1\"|\"2\".....\"abs%28y%29=x%2B3=-1%2B3=2\"=>\"y=2\" or \"y=-2\"
\n" ); document.write( "\"-1\"|\"-2\"\r
\n" ); document.write( "\n" ); document.write( "\"0\"|\"3\".....\"abs%28y%29=x%2B3=0%2B3=3\"=>\"y=3\" or \"y=-3\"
\n" ); document.write( "\"0\"|\"-3\"\r
\n" ); document.write( "\n" ); document.write( "\"1\"|\"4\".....\"abs%28y%29=x%2B3=1%2B3=4\"=>\"y=4\" or \"y=-4\"
\n" ); document.write( "\"1\"|\"-4\"\r
\n" ); document.write( "\n" ); document.write( "\"5\"|\"8\".....\"abs%28y%29=x%2B3=5%2B3=8\"=>\"y=8\" or \"y=-8\"
\n" ); document.write( "\"5\"|\"-8\"\r
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\n" ); document.write( "\n" ); document.write( "domain:
\n" ); document.write( "\"R%5E2\"
\n" ); document.write( "range:
\n" ); document.write( "unable to determine range
\n" ); document.write( "\"Re%28x%29%3E-3\" \r
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