document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=182676>Question 182676</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 6b.\r<BR>\n" );
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document.write( "True or false: The function \"f(x) = 3x\" grows three times faster than the function \"g(x) = 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 #137163 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=137163\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> True or false: The function \"f(x) = 3x\" grows three times faster than the function \"g(x) = x.\" Explain. <BR>\n" );
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document.write( "Neither is considered to be a \"growth\" function.<BR>\n" );
document.write( "y = 3x has a greater slope then y = x but both<BR>\n" );
document.write( "have a constant slope.<BR>\n" );
document.write( "The y-values increase 3 times faster with y = 3x than they do with y = x.<BR>\n" );
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document.write( "A problem like this is a good discussion problem but the word \"growth\"<BR>\n" );
document.write( "is really ambiguous except as it relates to functions of the form<BR>\n" );
document.write( "y = ab^x where the function is a growth function if b > 1 and a decay<BR>\n" );
document.write( "function is 0 < b < 1<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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