document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1139411>Question 1139411</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Are the functions continuous?\r<BR>\n" );
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document.write( "Determine whether f is continuous at c.  Use algebraic substitution, graphing, and or tables to determine. \r<BR>\n" );
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document.write( "3. f(x) = (x+3)/(x-3), c = 3\r<BR>\n" );
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document.write( "4. f(x) = (x^2 + 3x)/(x^2 - 3x), c = 0\r<BR>\n" );
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document.write( "I think they are both not continuous but im not sure. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #759905 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=759905\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "3. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29+=+%28x%2B3%29%2F%28x-3%29 ALIGN=MIDDLE  ALT=\"f%28x%29+=+%28x%2B3%29%2F%28x-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c+=+3 ALIGN=MIDDLE  ALT=\"c+=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "if<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+c ALIGN=MIDDLE  ALT=\"+c\"   DISABLED_style= \"max-width:90%; height:auto;\" > is of the given value for<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x ALIGN=MIDDLE  ALT=\"+x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%283%29+=+%283%2B3%29%2F%283-3%29=6%2F0 ALIGN=MIDDLE  ALT=\"f%283%29+=+%283%2B3%29%2F%283-3%29=6%2F0\"   DISABLED_style= \"max-width:90%; height:auto;\" >-> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=undefined ALIGN=MIDDLE  ALT=\"undefined\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "4. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29+=+%28x%5E2+%2B+3x%29%2F%28x%5E2+-+3x%29 ALIGN=MIDDLE  ALT=\"f%28x%29+=+%28x%5E2+%2B+3x%29%2F%28x%5E2+-+3x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c+=+0+ ALIGN=MIDDLE  ALT=\"c+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%280%29+=+%280%5E2+%2B+3%2A0%29%2F%280%5E2+-+3%2A0%29=0%2F0 ALIGN=MIDDLE  ALT=\"f%280%29+=+%280%5E2+%2B+3%2A0%29%2F%280%5E2+-+3%2A0%29=0%2F0\"   DISABLED_style= \"max-width:90%; height:auto;\" >-><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+undefined ALIGN=MIDDLE  ALT=\"+undefined\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "In both examples 3. and 4.  if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c ALIGN=MIDDLE  ALT=\"c\"   DISABLED_style= \"max-width:90%; height:auto;\" > is of the given value for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" >, the DENOMINATOR of the function becomes ZERO which is undefined. Thus the function has a 'hole ' there and 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;\" > continuous. </SPAN>\n" );
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