document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=954426>Question 954426</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Someone help me please with it. Determine if the equation defines a function\r<BR>\n" );
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document.write( "(x-4)^2 divide by 4 (minus) (y+3)^2 divide by 9 = 1  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #582905 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</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=582905\">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=%28x-4%29%5E2+%2F+4+-%28y%2B3%29%5E2+%2F+9+=+1 ALIGN=MIDDLE  ALT=\"%28x-4%29%5E2+%2F+4+-%28y%2B3%29%5E2+%2F+9+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" > -this is a hyperbola\r<BR>\n" );
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document.write( "  Hyperbolas CAN be functions, but NOT all hyperbolas are functions. The ones that are NOT functions are in the form of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2Fa%5E2+-+y%5E2%2Fb%5E2+=+1 ALIGN=MIDDLE  ALT=\"x%5E2%2Fa%5E2+-+y%5E2%2Fb%5E2+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Whenever <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" > is squared, you do <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=not ALIGN=MIDDLE  ALT=\"not\"   DISABLED_style= \"max-width:90%; height:auto;\" > have a functions.\r<BR>\n" );
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document.write( "The Vertical Line Test is also helpful:<BR>\n" );
document.write( "The test states that a graph represents a function if and only if all vertical lines intersect the graph at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=most ALIGN=MIDDLE  ALT=\"most\"   DISABLED_style= \"max-width:90%; height:auto;\" > once. \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28+600%2C+600%2C+-10%2C+15%2C+-15%2C+15%2C%0D%0Aline%28-2%2C15%2C-2%2C-15%29%2Cline%286.5%2C15%2C6.5%2C-15%29%2Cline%28-1%2C15%2C-1%2C-15%29%2Cline%288%2C15%2C8%2C-15%29%2C%0D%0A+graph%28+600%2C+600%2C+-10%2C+15%2C+-15%2C+15%2C+sqrt%28%28%28x-4%29%5E2+%2F+4+-+1%299%29-3%2C+-sqrt%28%28%28x-4%29%5E2+%2F+4+-+1%299%29-3%29%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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