document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1204988>Question 1204988</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the exponential function f(x) = a^x that passes through the point (2,25) and has a y-intercept of 1.\r<BR>\n" );
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document.write( "Find y = ? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #841566 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=841566\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let y = f(x).<BR>\n" );
document.write( "your equation becomes y = a^x.<BR>\n" );
document.write( "if it passes through the point (2,25), then you get 25 = a^2<BR>\n" );
document.write( "solve for a to get a = 5.<BR>\n" );
document.write( "your equation becomes y = 5^x<BR>\n" );
document.write( "then x = 2, you get y = 25.<BR>\n" );
document.write( "that's the point (2,25)<BR>\n" );
document.write( "the y-intercept is the value of y when the value of x is 0.<BR>\n" );
document.write( "y = 5^x becomes y = 5^0 which becomes y = 1 because x^0 is always equal to 1.<BR>\n" );
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