document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1198106>Question 1198106</A>: <I><SPAN STYLE=\"word-break: break-all;\"> State the domain and range for each. Is the relation a function?  Why or why not?\r<BR>\n" );
document.write( "\n" );
document.write( "(1) {(-1,-4), (3,4), (-3,-9), (2,-4), (-5,8), (0,-4)}\r<BR>\n" );
document.write( "\n" );
document.write( " \r<BR>\n" );
document.write( "\n" );
document.write( " \r<BR>\n" );
document.write( "\n" );
document.write( "(2) {(18,-142), (87,-142), (-43,-92), (125,111), (87,101), (18,111)}\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #831621 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20849)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=831621\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
document.write( "\n" );
document.write( "State the domain and range for each. Is the relation a function? Why or why not?\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "(1) {(-1,-4), (3,4), (-3,-9), (2,-4), (-5,8), (0,-4)}\r<BR>\n" );
document.write( "\n" );
document.write( "domain: {-5,-3,-1,0,2,3}<BR>\n" );
document.write( "range: {-9,-4,4,8}\r<BR>\n" );
document.write( "\n" );
document.write( "recall: An ordered pair is represented as (INPUT, OUTPUT): \r<BR>\n" );
document.write( "\n" );
document.write( "The relation shows the relationship between INPUT and OUTPUT. Whereas, a function is a relation which derives <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=one ALIGN=MIDDLE  ALT=\"one\"   DISABLED_style= \"max-width:90%; height:auto;\" > OUTPUT for each given INPUT.\r<BR>\n" );
document.write( "\n" );
document.write( "in your case every <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > has one value of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so the relation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=is ALIGN=MIDDLE  ALT=\"is\"   DISABLED_style= \"max-width:90%; height:auto;\" > a function\r<BR>\n" );
document.write( "\n" );
document.write( "(2) {(18,-142), (87,-142), (-43,-92), (125,111), (87,101), (18,111)}\r<BR>\n" );
document.write( "\n" );
document.write( "domain: {-43,18,87,125}<BR>\n" );
document.write( "range: {-142,-92,101,111}\r<BR>\n" );
document.write( "\n" );
document.write( "Since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=87+ ALIGN=MIDDLE  ALT=\"x=87+\"   DISABLED_style= \"max-width:90%; height:auto;\" >produces <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-142 ALIGN=MIDDLE  ALT=\"y=-142\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=101 ALIGN=MIDDLE  ALT=\"y=101\"   DISABLED_style= \"max-width:90%; height:auto;\" >, the relation is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=not ALIGN=MIDDLE  ALT=\"not\"   DISABLED_style= \"max-width:90%; height:auto;\" > a function </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );