document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=277911>Question 277911</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi The question is find the equations for exponential functions that pass through the given oair of points  . round the coefficeints to 4 decimal places if necessary. ( -2,1) ( 1,5) f(x) =  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #202293 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=202293\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The question is find the equations for exponential functions that pass through the given pair of points . round the coefficeints to 4 decimal places if necessary. ( -2,1) ( 1,5) f(x) = <BR>\n" );
document.write( "------------------------------------------------------<BR>\n" );
document.write( "y = ab^x<BR>\n" );
document.write( "5 = ab^1<BR>\n" );
document.write( "1 = ab^-2<BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "Divide the 1st equation by the 2nd to solve for \"b\":<BR>\n" );
document.write( "5 = b^3<BR>\n" );
document.write( "b = 5^(1/3)<BR>\n" );
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document.write( "Substitute into 5 = ab^1 and solve for \"a\":<BR>\n" );
document.write( "5 = a*5^(1/3)<BR>\n" );
document.write( "a = 5^(2/3)<BR>\n" );
document.write( "----------------------<BR>\n" );
document.write( "Equation:<BR>\n" );
document.write( "y = (5^(2/3))(5^(x/3)<BR>\n" );
document.write( "===========================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );