document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1156098>Question 1156098</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find an exponential function of the form <BR>\n" );
document.write( "f(x) = ba−x + c<BR>\n" );
document.write( " that has the given horizontal asymptote and y-intercept and passes through point P.<BR>\n" );
document.write( "y = 34;    y−intercept 659;    P(2, 134) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #778786 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20849)</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=778786\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find an exponential function of the form\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29+=+ba%5E%28-x%29+%2B+c ALIGN=MIDDLE  ALT=\"f%28x%29+=+ba%5E%28-x%29+%2B+c\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "that has the given horizontal asymptote and y-intercept and passes through point P.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+34 ALIGN=MIDDLE  ALT=\"y+=+34\"   DISABLED_style= \"max-width:90%; height:auto;\" >;\r<BR>\n" );
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document.write( " y-intercept <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=659 ALIGN=MIDDLE  ALT=\"659\"   DISABLED_style= \"max-width:90%; height:auto;\" >;=> (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0 ALIGN=MIDDLE  ALT=\"0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=569 ALIGN=MIDDLE  ALT=\"569\"   DISABLED_style= \"max-width:90%; height:auto;\" >)\r<BR>\n" );
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document.write( "A function of the form <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29+=+a+%28bx%29+%2B+c+ ALIGN=MIDDLE  ALT=\"f%28x%29+=+a+%28bx%29+%2B+c+\"   DISABLED_style= \"max-width:90%; height:auto;\" >always has a horizontal asymptote at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+c ALIGN=MIDDLE  ALT=\"y+=+c\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "=> if given <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+34 ALIGN=MIDDLE  ALT=\"y+=+34\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c=34 ALIGN=MIDDLE  ALT=\"c=34\"   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%28x%29+=+ba%5E%28-x%29+%2B34 ALIGN=MIDDLE  ALT=\"f%28x%29+=+ba%5E%28-x%29+%2B34\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "use P(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2 ALIGN=MIDDLE  ALT=\"2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=134 ALIGN=MIDDLE  ALT=\"134\"   DISABLED_style= \"max-width:90%; height:auto;\" >) and  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c=34 ALIGN=MIDDLE  ALT=\"c=34\"   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=569+=+ba%5E-0+%2B+34 ALIGN=MIDDLE  ALT=\"569+=+ba%5E-0+%2B+34\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=569+-34=+b+ ALIGN=MIDDLE  ALT=\"569+-34=+b+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=535 ALIGN=MIDDLE  ALT=\"b=535\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "so far\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29+=+535a%5E%28-x%29+%2B34 ALIGN=MIDDLE  ALT=\"f%28x%29+=+535a%5E%28-x%29+%2B34\"   DISABLED_style= \"max-width:90%; height:auto;\" >.......=> use given point (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2 ALIGN=MIDDLE  ALT=\"2\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=134 ALIGN=MIDDLE  ALT=\"134\"   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=134=+535a%5E%28-2%29%2B34 ALIGN=MIDDLE  ALT=\"134=+535a%5E%28-2%29%2B34\"   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=134-34+=+535%2Fa%5E2+ ALIGN=MIDDLE  ALT=\"134-34+=+535%2Fa%5E2+\"   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=100+=+535%2Fa%5E2+ ALIGN=MIDDLE  ALT=\"100+=+535%2Fa%5E2+\"   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=a%5E2+=+535%2F100+ ALIGN=MIDDLE  ALT=\"a%5E2+=+535%2F100+\"   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=a%5E2+=+5.35+ ALIGN=MIDDLE  ALT=\"a%5E2+=+5.35+\"   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=a+=sqrt%28+5.35+%29 ALIGN=MIDDLE  ALT=\"a+=sqrt%28+5.35+%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=a=2.31301 ALIGN=MIDDLE  ALT=\"a=2.31301\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "your function is:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29+=+535%282.31301%29%5E%28-x%29+%2B34 ALIGN=MIDDLE  ALT=\"f%28x%29+=+535%282.31301%29%5E%28-x%29+%2B34\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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