document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1155241>Question 1155241</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find an exponential function of the form <BR>\n" );
document.write( "f(x) = ba^x<BR>\n" );
document.write( " that has the given y-intercept and passes through the point P.<BR>\n" );
document.write( "y-intercept 8;    P(3, 1)\r<BR>\n" );
document.write( "\n" );
document.write( "I get 1/2 but my computer says it is wrong and I have redone the problem several times. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #777813 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=777813\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "You say \"I get 1/2\".<br><BR>\n" );
document.write( "What does that mean?  The question asks for an exponential function; \"1/2\" is not a function.<br><BR>\n" );
document.write( "What you found (apparently) was the a in the general form y=ba^x.<br><BR>\n" );
document.write( "The a is 1/2; since the y-intercept (when x=0) is 8, the b in your function is 8.<br><BR>\n" );
document.write( "The answer -- the exponential function -- is y=8(1/2)^x,<br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );