document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1035044>Question 1035044</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find an exponential function of the form f(x) = ab x that passes through the points P.<BR>\n" );
document.write( "and Q.<BR>\n" );
document.write( "(a) P=(-1,4) and Q=(2,32) (b) P=(-2,32) and Q=(1, 1/2)\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #649668 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=649668\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  Find an exponential function of the form f(x) = ab^x that passes through the points P and Q.<BR>\n" );
document.write( "(a) P=(-1,4) and Q=(2,32)<BR>\n" );
document.write( "4 = ab^-1<BR>\n" );
document.write( "32 = ab^2<BR>\n" );
document.write( "------<BR>\n" );
document.write( "Divide the bottom equation by the top and solve for \"b\"::<BR>\n" );
document.write( "8 = b^3<BR>\n" );
document.write( "b = 2<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Solve for \"a\"::<BR>\n" );
document.write( "4 = a*2^-1<BR>\n" );
document.write( "4 = a/2<BR>\n" );
document.write( "a = 8<BR>\n" );
document.write( "Equation::<BR>\n" );
document.write( "f(x) = 3*2^x<BR>\n" );
document.write( "------------------------- <BR>\n" );
document.write( "(b) P=(-2,32) and Q=(1, 1/2)<BR>\n" );
document.write( "32 = ab^-2<BR>\n" );
document.write( "(1/2) = ab^1<BR>\n" );
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document.write( "Divide the bottom equation by the top and solve for \"b\"::<BR>\n" );
document.write( "1/64 = b^3<BR>\n" );
document.write( "b = 1/4<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Solve for \"a\":<BR>\n" );
document.write( "32 = a*(1/4)^-2<BR>\n" );
document.write( "32 = a*16<BR>\n" );
document.write( "a = 2<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Equation:<BR>\n" );
document.write( "f(x) = 2*(1/4)^x<BR>\n" );
document.write( "OR<BR>\n" );
document.write( "f(x) = 2*4^(-x)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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