document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=82637>Question 82637</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0534494498/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Find an exponential function of the form f(x)=ba^x+c with y- intercept 2, horizontal asymptote y=-2, that passes through the point P(1,4) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #59279 by </B><A HREF=/tutors/aboutme.mpl?userid=scott8148><B>scott8148(6628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=scott8148><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=scott8148><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=59279\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the y-intercept is 2 ... so when x=0, f(x)=ba^0+c=b(1)+c=b+c=2\r<BR>\n" );
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document.write( "horiz asymptote is y=-2 ... as x approaches negative infinity, ba^x approaches 0 ... so c=-2 ... b=2-c ... so b=4\r<BR>\n" );
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document.write( "substituting point P(1,4) ... 4=4a^1-2 ... 6=4a ... 3/2=a\r<BR>\n" );
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document.write( "f(x)=4(3/2)^x-2 </SPAN>\n" );
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