document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1021214>Question 1021214</A>: <I><SPAN STYLE=\"word-break: break-all;\"> f is a continuous function with a domain [&#8722;3, 9] such that<BR>\n" );
document.write( "f of x equals 3 for x between negative 3 and 0 including negative 3, equals negative 1 times x plus 3 for x between 0 and 6 inclusive, and equals negative 3 for x greater than 6 and less than or equal to 9<BR>\n" );
document.write( "and let g of x equals the integral from negative 2 to x of f of t, dt.<BR>\n" );
document.write( "1. On what interval is g increasing? Justify your answer. \r<BR>\n" );
document.write( "\n" );
document.write( "2. For 0 &#8804; x &#8804; 6, express g(x) in terms of x. Do not include +C in your final answer.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #636990 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=636990\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a) g increases from [-3,3]. From the graph the function f cross the x axis and the total area starts decreasing.<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/display-illustration.mpl?tutor=Fombitz&illustration_name=dx5.JPG\">.<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "b) Break up the integral into 3 regions.<BR>\n" );
document.write( "[-3,0]<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%5B1%5D%28x%29=int%28%283%29%2Cdx%2C-3%2Cx%29 ALIGN=MIDDLE  ALT=\"g%5B1%5D%28x%29=int%28%283%29%2Cdx%2C-3%2Cx%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%5B1%5D%28x%29=3x%2B9 ALIGN=MIDDLE  ALT=\"g%5B1%5D%28x%29=3x%2B9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "[0,6]<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%5B2%5D%28x%29=g%5B1%5D%280%29%2Bint%28%28-x%2B3%29%2Cdx%2C0%2Cx%29 ALIGN=MIDDLE  ALT=\"g%5B2%5D%28x%29=g%5B1%5D%280%29%2Bint%28%28-x%2B3%29%2Cdx%2C0%2Cx%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%5B2%5D%28x%29=9-x%5E2%2F3%2B3x ALIGN=MIDDLE  ALT=\"g%5B2%5D%28x%29=9-x%5E2%2F3%2B3x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "[6,9]<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%5B3%5D%28x%29=g%5B2%5D%286%29%2Bint%28%28-3%29%2Cdx%2C6%2Cx%29 ALIGN=MIDDLE  ALT=\"g%5B3%5D%28x%29=g%5B2%5D%286%29%2Bint%28%28-3%29%2Cdx%2C6%2Cx%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%5B3%5D%28x%29=9-3%28x-6%29 ALIGN=MIDDLE  ALT=\"g%5B3%5D%28x%29=9-3%28x-6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=g%5B3%5D%28x%29=27-3x ALIGN=MIDDLE  ALT=\"g%5B3%5D%28x%29=27-3x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );