document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=149323>Question 149323</A>: <I><SPAN STYLE=\"word-break: break-all;\"> GRAPH THE PIECEWISE FUNCTION GIVEN BY f(X)= { X+1 IF X < O<BR>\n" );
document.write( "                                            { -X2 + 2  IF X >_ O \r<BR>\n" );
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document.write( "X IS SQUARED AND THE SYMBOL IS GREATER THAN OR = TO\r<BR>\n" );
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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 #114674 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=114674\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> OK, let's pick the domain to go from -5 to 5.<BR>\n" );
document.write( "From x=-5 to x=0 (not including x=0), the function is <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%5B1%5D%28x%29=x%2B1 ALIGN=MIDDLE  ALT=\"f%5B1%5D%28x%29=x%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "From x=0 (including x=0) to x=5, the function is <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%5B2%5D%28x%29=-x%5E2%2Bx ALIGN=MIDDLE  ALT=\"f%5B2%5D%28x%29=-x%5E2%2Bx\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Since for a straight line, we only need two points we will use x=-5,0 for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%5B1%5D ALIGN=MIDDLE  ALT=\"f%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" >. <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%5B1%5D%28-5%29=-5%2B1=-4 ALIGN=MIDDLE  ALT=\"f%5B1%5D%28-5%29=-5%2B1=-4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%5B1%5D%280%29=0%2B1=1 ALIGN=MIDDLE  ALT=\"f%5B1%5D%280%29=0%2B1=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Plot those two points, (-5,-4) and (0,1) and draw the straight line connecting them.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28+300%2C+300%2C+-5%2C+5%2C+-5%2C+5%2Cgrid%28+1+%29%2Ccircle%28+-5%2C+-4%2C+.1+%29%2Ccircle%280%2C1%2C.1%29%2Cgreen%28line%28+-5%2C+-4%2C+0%2C1%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Next for the quadratic, we need more that 2 points, we'll pick x=0,1,2,3,4,5.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%5B2%5D%280%29=-%280%29%5E2%2B2=2 ALIGN=MIDDLE  ALT=\"f%5B2%5D%280%29=-%280%29%5E2%2B2=2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%5B2%5D%281%29=-%281%29%5E2%2B2=1 ALIGN=MIDDLE  ALT=\"f%5B2%5D%281%29=-%281%29%5E2%2B2=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%5B2%5D%282%29=-%282%29%5E2%2B2=-2 ALIGN=MIDDLE  ALT=\"f%5B2%5D%282%29=-%282%29%5E2%2B2=-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%5B2%5D%283%29=-%283%29%5E2%2B2=-7 ALIGN=MIDDLE  ALT=\"f%5B2%5D%283%29=-%283%29%5E2%2B2=-7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%5B2%5D%284%29=-%284%29%5E2%2B2=-14 ALIGN=MIDDLE  ALT=\"f%5B2%5D%284%29=-%284%29%5E2%2B2=-14\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%5B2%5D%285%29=-%285%29%5E2%2B2=-23 ALIGN=MIDDLE  ALT=\"f%5B2%5D%285%29=-%285%29%5E2%2B2=-23\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Plot those and connect those points. <BR>\n" );
document.write( "Note the change in scale of the graph. <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28+300%2C+300%2C+-5%2C+5%2C+-25%2C+5%2Cgrid%28+1+%29%2C%0D%0Acircle%280%2C2%2C.1%29%2C%0D%0Acircle%281%2C1%2C.1%29%2C%0D%0Acircle%282%2C-2%2C.1%29%2C%0D%0Acircle%283%2C-7%2C.1%29%2C%0D%0Acircle%284%2C-14%2C.1%29%2C%0D%0Acircle%285%2C-23%2C.1%29%2C%0D%0Ablue%28line%280%2C2%2C1%2C1%29%29%2C%0D%0Ablue%28line%281%2C1%2C2%2C-2%29%29%2C%0D%0Ablue%28line%282%2C-2%2C3%2C-7%29%29%2C%0D%0Ablue%28line%283%2C-7%2C4%2C-14%29%29%2C%0D%0Ablue%28line%284%2C-14%2C5%2C-23%29%29%2C%0D%0Acircle%28+-5%2C+-4%2C+.1+%29%2Ccircle%280%2C1%2C.1%29%2Cgreen%28line%28+-5%2C+-4%2C+0%2C1%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Also, note the discontinuity at x=0. </SPAN>\n" );
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