document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=58751>Question 58751</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/9780073268620/algebrahomeworkh>Elementary and Intermediate Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> I am not sure if i submitted it to the correct help section, but here it goes...\r<BR>\n" );
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document.write( "determine whether each relation is a function.\r<BR>\n" );
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document.write( "x^2 = 1 + y^2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #40279 by </B><A HREF=/tutors/aboutme.mpl?userid=funmath><B>funmath(2933)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=funmath><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=40279\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I am not sure if i submitted it to the correct help section, but here it goes...\r<BR>\n" );
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document.write( "determine whether each relation is a function.\r<BR>\n" );
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document.write( "x^2 = 1 + y^2<BR>\n" );
document.write( "****Anytime you have an absolute value of y or y raised to an even power it is NOT a function****<BR>\n" );
document.write( "Watch what happens if we try to solve for y:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2=1%2By%5E2 ALIGN=MIDDLE  ALT=\"x%5E2=1%2By%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-1=-1%2B1%2By%5E2 ALIGN=MIDDLE  ALT=\"x%5E2-1=-1%2B1%2By%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-1=y%5E2 ALIGN=MIDDLE  ALT=\"x%5E2-1=y%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "+/-<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28x%5E2-1%29=sqrt%28y%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%28x%5E2-1%29=sqrt%28y%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "+/-<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28x%5E2-1%29=y ALIGN=MIDDLE  ALT=\"sqrt%28x%5E2-1%29=y\"   DISABLED_style= \"max-width:90%; height:auto;\" >  The +/- means that there are two different possibilities for every x we put in, which is a no-no where functions are concerned.<BR>\n" );
document.write( "Graphically you do not pass the vertical line test either:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C200%2C-10%2C10%2C-10%2C10%2Csqrt%28x%5E2-1%29%2C-sqrt%28x%5E2-1%29%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C200%2C-10%2C10%2C-10%2C10%2Csqrt%28x%5E2-1%29%2C-sqrt%28x%5E2-1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "I just remember ****, the rest is for general information, depending on what kind of proof you have to give your teacher.<BR>\n" );
document.write( "Happy Calculating!!! </SPAN>\n" );
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