document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=613919>Question 613919</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write an exponential function y=ab^x for a graph that includes (1,14) and (0,4). </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #386327 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=386327\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Write an exponential function y=ab^x for a graph that includes (1,14) and (0,4).<BR>\n" );
document.write( "------<BR>\n" );
document.write( "y = ab^x<BR>\n" );
document.write( "Solve for a and b:<BR>\n" );
document.write( "Using (0,4) 4 = ab^0<BR>\n" );
document.write( "4 = a*1<BR>\n" );
document.write( "a = 4<BR>\n" );
document.write( "------<BR>\n" );
document.write( "Using a = 1 and (1,14)<BR>\n" );
document.write( "14 = 4*b^1<BR>\n" );
document.write( "b = 14/4 = 7/2\r<BR>\n" );
document.write( "\n" );
document.write( "---<BR>\n" );
document.write( "Equation:<BR>\n" );
document.write( "y = 4*(7/2)^x<BR>\n" );
document.write( "============================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "================== </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );