document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=151012>Question 151012</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Evaluate the functions for the values of x given as 1, 2, 4, 8, and 16.  Describe the differences in the rate at which each funtion changes with increasing values of x.\r<BR>\n" );
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document.write( "f(x) = 5x -3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #110973 by </B><A HREF=/tutors/aboutme.mpl?userid=mangopeeler07><B>mangopeeler07(462)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mangopeeler07><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=110973\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> f(x) = 5x -3<BR>\n" );
document.write( "where x=1, 2, 4, 8, and 16. \r<BR>\n" );
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document.write( "f(1)=5(1)-3<BR>\n" );
document.write( "f(1)=2\r<BR>\n" );
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document.write( "f(2)=5(2)-3<BR>\n" );
document.write( "f(2)=7\r<BR>\n" );
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document.write( "f(4)=5(4)-3<BR>\n" );
document.write( "f(4)=17\r<BR>\n" );
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document.write( "f(8)=5(8)-3<BR>\n" );
document.write( "f(8)=37\r<BR>\n" );
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document.write( "f(16)=5(16)-3<BR>\n" );
document.write( "f(16)=77\r<BR>\n" );
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document.write( "Differences in order are 5, 10, 20, and 40.  Therefore, the rate of increase doubles every time the value for x doubles.  For every increasing value of x, f(x) increases by 5.  In other words, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%2B1%29=f%28x%29%2B5 ALIGN=MIDDLE  ALT=\"f%28x%2B1%29=f%28x%29%2B5\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  This also can be described as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%282x%29=f%28x%29%2B5x ALIGN=MIDDLE  ALT=\"f%282x%29=f%28x%29%2B5x\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
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