document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1158431>Question 1158431</A>: <I><SPAN STYLE=\"word-break: break-all;\"> which of the following relations are functions?\r<BR>\n" );
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document.write( "a. {children}-{stuffed aninals}<BR>\n" );
document.write( "b. f(x)=sqrt(x^2+3)<BR>\n" );
document.write( "c.h(x)=1/x^2<BR>\n" );
document.write( "d.x=3<BR>\n" );
document.write( "e.x^2+y^2=5<BR>\n" );
document.write( "f.{(2,3),(3,4),(4,4),(5,6)} </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #854570 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5385)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=854570\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The following are functions of x, because to every x in the domain there i just one value assigned in to the other variable:<BR>\n" );
document.write( "b. f(x)=sqrt(x^2+3)<BR>\n" );
document.write( "c.h(x)=1/x^2<BR>\n" );
document.write( "d.x=3<BR>\n" );
document.write( "f.{(2,3),(3,4),(4,4),(5,6)}<BR>\n" );
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document.write( "The relation a. between children and stuffed animals is probably understood as not a function, because if I ask what stuffed animal belongs to Susie, , there may be more than one.<BR>\n" );
document.write( "The relation e.x^2+y^2=5 graphs as a circle of radius <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%285%29 ALIGN=MIDDLE  ALT=\"sqrt%285%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > , centered at the origin, but it is not a function, because for every value of x, except <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=sqrt%285%29 ALIGN=MIDDLE  ALT=\"x=sqrt%285%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-sqrt%285%29 ALIGN=MIDDLE  ALT=\"x=-sqrt%285%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > there are two values of y. </SPAN>\n" );
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