document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=174147>Question 174147</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0321233832/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> can you please let one more time please thank you in advance\r<BR>\n" );
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document.write( "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 function changes with increasing values of x. \r<BR>\n" );
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document.write( "f(x) = 2x^3 + 7x^2 -x-1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #129072 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=129072\">put this solution on YOUR website!</A><BR><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 function changes with increasing values of x.<BR>\n" );
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document.write( "f(x) = 2x^3 + 7x^2 -x-1<BR>\n" );
document.write( "---<BR>\n" );
document.write( "f(1) = 2 + 7 - 1 - 1 = 7 ; plot point (1,7)<BR>\n" );
document.write( "----<BR>\n" );
document.write( "f(2) = 2(2^3) + 7*2^2 -2 - 1<BR>\n" );
document.write( " = 2*8 + 7*4 -3 = 16 + 28 - 3 = 41 ; plot point (2,41)<BR>\n" );
document.write( "---<BR>\n" );
document.write( "f(4) = 2(4^3) +7*4^2 - 4 - 1<BR>\n" );
document.write( " = 2*64 + 7*16 - 5 = 235 ; plot point (4,235)<BR>\n" );
document.write( "----<BR>\n" );
document.write( "f(8) = 2(8^3) + 7(8^2) -8 - 1 = 1463 ; plot point (8,1463)<BR>\n" );
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document.write( "f(16) = 9967 ; plot point (16,9967)<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C300%2C-10%2C20%2C-10%2C5000%2C2x%5E3%2B7x%5E2-x-1%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C300%2C-10%2C20%2C-10%2C5000%2C2x%5E3%2B7x%5E2-x-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The function is increasing at a pregressively faster and faster pace<BR>\n" );
document.write( "as x increases from one to 16.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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