document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1027572>Question 1027572</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Let f be a function such that f(0) = 2 and f'(x)<=6 for -10<=x<=10.<BR>\n" );
document.write( "A) What is the maximum possible value of f(4)?<BR>\n" );
document.write( "B) What is the maximum possible value of f(2)?<BR>\n" );
document.write( "C) Can f(5) be negative? Can f(5) = 0? Why or Why not?<BR>\n" );
document.write( "D) Can f(5) = 31? Can f(5) = 35? Why or why not?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #642801 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=642801\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A) At most, <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28f%284%29-f%280%29%29%2F%284-0%29=6 ALIGN=MIDDLE  ALT=\"%28f%284%29-f%280%29%29%2F%284-0%29=6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28f%284%29-2%29%2F4=6 ALIGN=MIDDLE  ALT=\"%28f%284%29-2%29%2F4=6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%284%29-2=24 ALIGN=MIDDLE  ALT=\"f%284%29-2=24\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%284%29=26 ALIGN=MIDDLE  ALT=\"f%284%29=26\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "B) At most,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28f%282%29-f%280%29%29%2F%282-0%29=6 ALIGN=MIDDLE  ALT=\"%28f%282%29-f%280%29%29%2F%282-0%29=6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%282%29-2=12 ALIGN=MIDDLE  ALT=\"f%282%29-2=12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%282%29=14 ALIGN=MIDDLE  ALT=\"f%282%29=14\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "C) Yes, the only limit is on the positive end. The derivative can be negative so then the value can take any value less than <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%280%29=2 ALIGN=MIDDLE  ALT=\"f%280%29=2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "D) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%285%29 ALIGN=MIDDLE  ALT=\"f%285%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > is limited just like <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%284%29 ALIGN=MIDDLE  ALT=\"f%284%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <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;\" > are.<BR>\n" );
document.write( "The maximum value is,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28f%285%29-2%29%2F%285-0%29=6 ALIGN=MIDDLE  ALT=\"%28f%285%29-2%29%2F%285-0%29=6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%285%29-2=30 ALIGN=MIDDLE  ALT=\"f%285%29-2=30\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%285%29=32 ALIGN=MIDDLE  ALT=\"f%285%29=32\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%285%29%3C=32 ALIGN=MIDDLE  ALT=\"f%285%29%3C=32\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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