document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=107025>Question 107025</A>: <I><SPAN STYLE=\"word-break: break-all;\"> X2+Y2=25 <BR>\n" );
document.write( "Is solving this problem considered a function?\r<BR>\n" );
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document.write( "How do I plot a graph using a smooth curve for this problem?\r<BR>\n" );
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document.write( "Ed </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #77944 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=77944\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=X%5E2%2BY%5E2=25 ALIGN=MIDDLE  ALT=\"X%5E2%2BY%5E2=25\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Solve for y as a function of x.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Y%5E2=25-X%5E2 ALIGN=MIDDLE  ALT=\"Y%5E2=25-X%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Y=sqrt%2825-X%5E2%29 ALIGN=MIDDLE  ALT=\"Y=sqrt%2825-X%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Y=-sqrt%2825-X%5E2%29 ALIGN=MIDDLE  ALT=\"Y=-sqrt%2825-X%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Since the square root cannot be negative, then<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25-X%5E2%3E=0 ALIGN=MIDDLE  ALT=\"25-X%5E2%3E=0\"   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%3C=25 ALIGN=MIDDLE  ALT=\"X%5E2%3C=25\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%28X%29%3C=5 ALIGN=MIDDLE  ALT=\"abs%28X%29%3C=5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The domain of x is {-5,5} and the range of y is {-5,5}. <BR>\n" );
document.write( "Choose several x's between -5 and 5 (-5,-4,-3,-2,-1,0,...) and calculate the y values. <BR>\n" );
document.write( "Examples, when x=-4,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Y=sqrt%2825-X%5E2%29 ALIGN=MIDDLE  ALT=\"Y=sqrt%2825-X%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Y=-sqrt%2825-X%5E2%29 ALIGN=MIDDLE  ALT=\"Y=-sqrt%2825-X%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=Y=sqrt%2825-%28-4%29%5E2%29 ALIGN=MIDDLE  ALT=\"Y=sqrt%2825-%28-4%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Y=-sqrt%2825-%28-4%29%5E2%29 ALIGN=MIDDLE  ALT=\"Y=-sqrt%2825-%28-4%29%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=Y=sqrt%2825-%2816%29%5E2%29 ALIGN=MIDDLE  ALT=\"Y=sqrt%2825-%2816%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Y=-sqrt%2825-%2816%29%5E2%29 ALIGN=MIDDLE  ALT=\"Y=-sqrt%2825-%2816%29%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=Y=3 ALIGN=MIDDLE  ALT=\"Y=3\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Y=-3 ALIGN=MIDDLE  ALT=\"Y=-3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So the ordered pairs (3,4) and (3,-4) are on your curve. <BR>\n" );
document.write( "More points make for a smoother curve. <BR>\n" );
document.write( "When you graph the function, you will see that it is the top and bottom of a circle centered at 0,0 with a radius of 5. <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+300%2C+-6%2C+6%2C+-6%2C+6%2C+sqrt%2825-x%5E2%29+%2C+-sqrt%2825-x%5E2%29%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+300%2C+-6%2C+6%2C+-6%2C+6%2C+sqrt%2825-x%5E2%29+%2C+-sqrt%2825-x%5E2%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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