document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=150404>Question 150404</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi<BR>\n" );
document.write( "I'm confused with his question. However, my answer is below. <BR>\n" );
document.write( "True or false: The function f(x)=3^x grows three times faster than the function g(x)=x. Explain.\r<BR>\n" );
document.write( "\n" );
document.write( "MY answer is true because F(x)=3^x  is exponential and grows faster because what ever the x (exponent) is, it multiplies that 3, that many times over. And the g(x)=x is one number muliplied with another number. Is this correct or am I thinking of it the wrong way?  Please help, I'm the only one who has this different answer and I don't understand why they all have false. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #110354 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=110354\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> True or false: The function f(x)=3^x grows three times faster than the function g(x)=x. Explain. <BR>\n" );
document.write( "MY answer is true because F(x)=3^x is exponential and grows faster because what ever the x (exponent) is, it multiplies that 3, that many times over. And the <BR>\n" );
document.write( "g(x)=x is one number multiplied with another number. Is this correct or am I thinking of it the wrong way? Please help, I'm the only one who has this different answer and I don't understand why they all have false.<BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "Comparing g(x) = x to f(x)=3^x<BR>\n" );
document.write( "g(x) = x is a line with slope=1 and y-intercept = 0<BR>\n" );
document.write( "As x increases, y increases<BR>\n" );
document.write( "It looks like this:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C300%2C-10%2C10%2C-10%2C10%2Cx%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C300%2C-10%2C10%2C-10%2C10%2Cx%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "y= 3^x is exponential with  y-intercept at (0,1) and a constantly <BR>\n" );
document.write( "increasing slope.  It looks like this:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C300%2C-10%2C10%2C-10%2C20%2C3%5Ex%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C300%2C-10%2C10%2C-10%2C20%2C3%5Ex%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--------<BR>\n" );
document.write( "Note: It is incorrect to say \"the exponent multiplies the three\".<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );