document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=179442>Question 179442</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello dear tutor, <BR>\n" );
document.write( "I need help with a certain math problem today that we just learned in class, but I can only get how to do really with like an actual example from my homework, which is why I am here, trying to learn! So here is the question! Thanks so much for helping out! it means ALOT! \r<BR>\n" );
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document.write( "Which grows faster as x increases, x^3, or 3^x? Explain.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #134376 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=134376\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Rate of growth answers the question:<BR>\n" );
document.write( "\"How fast is it getting larger?<BR>\n" );
document.write( "It's the same as<BR>\n" );
document.write( "\"How fast is the child growing?<BR>\n" );
document.write( "Growth is a change all by itself,<BR>\n" );
document.write( "but I can ask:<BR>\n" );
document.write( "\"Is that child growing faster than<BR>\n" );
document.write( "that other child?<BR>\n" );
document.write( "Here's how I would compare the 2 functions:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E3 ALIGN=MIDDLE  ALT=\"x%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---------<BR>\n" );
document.write( "x -- f(x) --  change in f(x)<BR>\n" );
document.write( "0 -- 0<BR>\n" );
document.write( "1 -- 1 -- 1<BR>\n" );
document.write( "2 -- 8 -- 7<BR>\n" );
document.write( "3 -- 27 -- 19<BR>\n" );
document.write( "4 -- 64 -- 37<BR>\n" );
document.write( "5 -- 125 -- 61<BR>\n" );
document.write( "---------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%5Ex ALIGN=MIDDLE  ALT=\"3%5Ex\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x -- f(x) -- change in f(x)<BR>\n" );
document.write( "0 -- 1 <BR>\n" );
document.write( "1 -- 3 -- 2<BR>\n" );
document.write( "2 -- 9 -- 6<BR>\n" );
document.write( "3 -- 27 -- 21<BR>\n" );
document.write( "4 -- 81 -- 54<BR>\n" );
document.write( "5 -- 243 -- 162<BR>\n" );
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document.write( "The change in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29 ALIGN=MIDDLE  ALT=\"f%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > is bigger for<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%5Ex ALIGN=MIDDLE  ALT=\"3%5Ex\"   DISABLED_style= \"max-width:90%; height:auto;\" > for every term after<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%282%29 ALIGN=MIDDLE  ALT=\"f%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  <BR>\n" );
document.write( "So, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%5Ex ALIGN=MIDDLE  ALT=\"3%5Ex\"   DISABLED_style= \"max-width:90%; height:auto;\" > grows faster<BR>\n" );
document.write( "  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );