document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1086543>Question 1086543</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Evaluate the piecewise function at the given value of the independent variable.\r<BR>\n" );
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document.write( "        x^2+5/x+3    if x#-3<BR>\n" );
document.write( "g(x)={                        ,g(-5)<BR>\n" );
document.write( "        x-7          if x=-3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #700770 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=700770\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=\"black\" face=\"times\" size=\"3\">Piecewise function\r<BR>\n" );
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document.write( "The piecewise function has two pieces. In other words, two rules which are\r<BR>\n" );
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document.write( "Rule1: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28x%29+=+%28x%5E2%2B5%29%2F%28x%2B3%29 ALIGN=MIDDLE  ALT=\"g%28x%29+=+%28x%5E2%2B5%29%2F%28x%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C%3E-3 ALIGN=MIDDLE  ALT=\"x%3C%3E-3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Rule2: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28x%29+=+x-7 ALIGN=MIDDLE  ALT=\"g%28x%29+=+x-7\"   DISABLED_style= \"max-width:90%; height:auto;\" > if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-3 ALIGN=MIDDLE  ALT=\"x=-3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The g(x) function depends on the x value. If x is not equal to -3, then we go with Rule1. If x does equal -3, then we go with Rule2.\r<BR>\n" );
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document.write( "g(-5) indicates that the input is x = -5\r<BR>\n" );
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document.write( "Because x = -5, which is not -3, this means we go with Rule1 above.\r<BR>\n" );
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document.write( "Plug x = -5 into the equation for Rule1.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28x%29+=+%28x%5E2%2B5%29%2F%28x%2B3%29 ALIGN=MIDDLE  ALT=\"g%28x%29+=+%28x%5E2%2B5%29%2F%28x%2B3%29\"   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=g%28-5%29+=+%28%28-5%29%5E2%2B5%29%2F%28-5%2B3%29 ALIGN=MIDDLE  ALT=\"g%28-5%29+=+%28%28-5%29%5E2%2B5%29%2F%28-5%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Note how every x is replaced with -5\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%28-5%29+=+%2830%29%2F%28-2%29 ALIGN=MIDDLE  ALT=\"g%28-5%29+=+%2830%29%2F%28-2%29\"   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=g%28-5%29+=+-15 ALIGN=MIDDLE  ALT=\"g%28-5%29+=+-15\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Answer: <font color=red>-15</font></font> </SPAN>\n" );
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