document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1007694>Question 1007694</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Draw the graph of f(x) = (1/5)^(x-1) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #623582 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=623582\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> here's the graph.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2015/120301.jpg\" alt=\"$$$\" </>\r<BR>\n" );
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document.write( "you select values of x and then you use the equation to find values of y.\r<BR>\n" );
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document.write( "then you plot them on the graph.\r<BR>\n" );
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document.write( "i chose x = -3,-2,-1,0,1,2,3\r<BR>\n" );
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document.write( "it was enough to show the general shape of the graph.\r<BR>\n" );
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document.write( "two examples of use of the formula are shown below:\r<BR>\n" );
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document.write( "when x = -2:\r<BR>\n" );
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document.write( "y = (1/5)^(x-1) becomes:\r<BR>\n" );
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document.write( "y = 1^(x-1) / (5^(x-1) which becomes:\r<BR>\n" );
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document.write( "y = 1 / 5^(-2-1) whicy becomes:\r<BR>\n" );
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document.write( "y = 1 / 5^(-3) which becomes:\r<BR>\n" );
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document.write( "y = 1 / (1/5^3) which becomes:\r<BR>\n" );
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document.write( "y = 1 * 5^3/1 which becomes:\r<BR>\n" );
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document.write( "y = 1 * 5^3 which becomes:\r<BR>\n" );
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document.write( "y = 1 * 125 which becomes:\r<BR>\n" );
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document.write( "y = 125\r<BR>\n" );
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document.write( "when x = -2, y = 125 as shown on the graph.\r<BR>\n" );
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document.write( "when x = 2 it's a little simpler because you're not dealing with negative exponents.\r<BR>\n" );
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document.write( "when x = 2:\r<BR>\n" );
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document.write( "y = (1/5)^(x-1) becomes:\r<BR>\n" );
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document.write( "y = (1/5)^(2-1) which becomes:\r<BR>\n" );
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document.write( "y = (1/5)^1 which becomes:\r<BR>\n" );
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document.write( "y = 1/5 which is the same as y = .2 as shown on the graph.\r<BR>\n" );
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document.write( "the basic concepts used are:\r<BR>\n" );
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document.write( "a^-2 = 1/a^x\r<BR>\n" );
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document.write( "this first one means that any value raised to a negative exponent is the same as the reciprocal of that value taised to a positive exponent.\r<BR>\n" );
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document.write( "1/(a/b) = 1 * (b/a)\r<BR>\n" );
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document.write( "this second one means that, when you divide by a fraction, it's the same thing as multiplying by the reciprocal of the fraction.\r<BR>\n" );
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document.write( "some links you might find useful.\r<BR>\n" );
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document.write( "<a  rel=nofollow HREF= \"http://www.wtamu.edu/academic/anns/mps/math/mathlab/beg_algebra/beg_alg_tut29_negexp.htm\" target = \"_blank\">http://www.wtamu.edu/academic/anns/mps/math/mathlab/beg_algebra/beg_alg_tut29_negexp.htm</a>\r<BR>\n" );
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document.write( "<a  rel=nofollow HREF= \"http://www.purplemath.com/modules/fraction3.htm\" target = \"_blank\">http://www.purplemath.com/modules/fraction3.htm</a>\r<BR>\n" );
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document.write( " </SPAN>\n" );
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