document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=468317>Question 468317</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Does y=11(8/13)^x represents exponential growth or exponential decay. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #321332 by </B><A HREF=/tutors/aboutme.mpl?userid=ccs2011><B>ccs2011(207)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ccs2011><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=ccs2011><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=321332\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given the exponential function:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+a%2Ab%5Ex ALIGN=MIDDLE  ALT=\"y+=+a%2Ab%5Ex\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "where a is a constant scale factor and b is the base raised to power of x.<BR>\n" );
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document.write( "If b > 1, then as x increases so does y, thus its a growth function.<BR>\n" );
document.write( "Ex:<BR>\n" );
document.write( "a=1, b=2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+2%5Ex ALIGN=MIDDLE  ALT=\"y+=+2%5Ex\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "If x = 1, y = 2^1 = 2<BR>\n" );
document.write( "If x = 3, y = 2^3 = 8<BR>\n" );
document.write( "...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28200%2C200%2C-1%2C5%2C-1%2C20%2C2%5Ex%29 ALIGN=MIDDLE  ALT=\"graph%28200%2C200%2C-1%2C5%2C-1%2C20%2C2%5Ex%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "If b < 1, then as x increases y decreases, thus its a decay function.<BR>\n" );
document.write( "Ex:<BR>\n" );
document.write( "a=1, b=1/2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%281%2F2%29%5Ex ALIGN=MIDDLE  ALT=\"y+=+%281%2F2%29%5Ex\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "If x = 1, y = (1/2)^1 = 1/2<BR>\n" );
document.write( "If x = 3, y = (1/2)^3 = 1/8<BR>\n" );
document.write( "...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28200%2C200%2C-1%2C5%2C-1%2C2%2C0.5%5Ex%29 ALIGN=MIDDLE  ALT=\"graph%28200%2C200%2C-1%2C5%2C-1%2C2%2C0.5%5Ex%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "************************************************<BR>\n" );
document.write( "Remember:<BR>\n" );
document.write( "b > 1 ---> Growth<BR>\n" );
document.write( "b < 1 ---> Decay<BR>\n" );
document.write( "You can always check by plugging in x_values as well, I suggest 0 and 1.<BR>\n" );
document.write( "If the y_value went up then its growth, if not its decay.<BR>\n" );
document.write( "Lets look at your problem <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+11%288%2F13%29%5Ex ALIGN=MIDDLE  ALT=\"y+=+11%288%2F13%29%5Ex\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "a= 11, b = 8/13<BR>\n" );
document.write( "8/13 < 1 --> Decay<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+11%288%2F13%29%5E0+=+11 ALIGN=MIDDLE  ALT=\"y+=+11%288%2F13%29%5E0+=+11\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+11%288%2F13%29%5E1+=+88%2F13+=+6.77 ALIGN=MIDDLE  ALT=\"y+=+11%288%2F13%29%5E1+=+88%2F13+=+6.77\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "y decreased therefore we confirm the function is a decay function. </SPAN>\n" );
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