document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=633336>Question 633336</A>: <I><SPAN STYLE=\"word-break: break-all;\"> for each piecewise function, find the specified function values\r<BR>\n" );
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document.write( "f(x)= 3               for x <= -2<BR>\n" );
document.write( "     (1/2)x + 6       for x > -2\r<BR>\n" );
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document.write( "f(-5),f(-2),f(0), f(2)\r<BR>\n" );
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document.write( "<= means less than or equal to. i wasnt sure how to do the sign\r<BR>\n" );
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document.write( "for the second equation i (think) that i make for example -5 for x. not sure on first one\r<BR>\n" );
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document.write( "thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #398864 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=398864\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Good job with the definition of the function. The <= , and the (1/2)x make me pretty sure that I understand what you mean.<BR>\n" );
document.write( "As I understand, the function is defined in pieces:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=3 ALIGN=MIDDLE  ALT=\"f%28x%29=3\"   DISABLED_style= \"max-width:90%; height:auto;\" > for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C=-2 ALIGN=MIDDLE  ALT=\"x%3C=-2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=%281%2F2%29x%2B6 ALIGN=MIDDLE  ALT=\"f%28x%29=%281%2F2%29x%2B6\"   DISABLED_style= \"max-width:90%; height:auto;\" > for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3E2 ALIGN=MIDDLE  ALT=\"x%3E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and you need to calculate the value of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29 ALIGN=MIDDLE  ALT=\"f%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-5 ALIGN=MIDDLE  ALT=\"x=-5\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-2 ALIGN=MIDDLE  ALT=\"x=-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=0 ALIGN=MIDDLE  ALT=\"x=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=2 ALIGN=MIDDLE  ALT=\"x=2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( " <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-5 ALIGN=MIDDLE  ALT=\"x=-5\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-2 ALIGN=MIDDLE  ALT=\"x=-2\"   DISABLED_style= \"max-width:90%; height:auto;\" > are in the first part of the domain,<BR>\n" );
document.write( "the part where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C=-2 ALIGN=MIDDLE  ALT=\"x%3C=-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "In that part, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=3 ALIGN=MIDDLE  ALT=\"f%28x%29=3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28f%28-5%29=3%29 ALIGN=MIDDLE  ALT=\"highlight%28f%28-5%29=3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28f%28-2%29=3%29 ALIGN=MIDDLE  ALT=\"highlight%28f%28-2%29=3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=0 ALIGN=MIDDLE  ALT=\"x=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=2 ALIGN=MIDDLE  ALT=\"x=2\"   DISABLED_style= \"max-width:90%; height:auto;\" > are in the other part of the domain,<BR>\n" );
document.write( "the part where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3E-2 ALIGN=MIDDLE  ALT=\"x%3E-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "In that part, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=%281%2F2%29x%2B6 ALIGN=MIDDLE  ALT=\"f%28x%29=%281%2F2%29x%2B6\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so we enter the x value into <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=%281%2F2%29x%2B6 ALIGN=MIDDLE  ALT=\"f%28x%29=%281%2F2%29x%2B6\"   DISABLED_style= \"max-width:90%; height:auto;\" > to calculate the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29 ALIGN=MIDDLE  ALT=\"f%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > values:<BR>\n" );
document.write( "For <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=0 ALIGN=MIDDLE  ALT=\"x=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%280%29=%281%2F2%29%2A0%2B6=0%2B6=6 ALIGN=MIDDLE  ALT=\"f%280%29=%281%2F2%29%2A0%2B6=0%2B6=6\"   DISABLED_style= \"max-width:90%; height:auto;\" > so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28f%280%29=6%29 ALIGN=MIDDLE  ALT=\"highlight%28f%280%29=6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "For  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=2 ALIGN=MIDDLE  ALT=\"x=2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%282%29=%281%2F2%29%2A2%2B6=1%2B6=7 ALIGN=MIDDLE  ALT=\"f%282%29=%281%2F2%29%2A2%2B6=1%2B6=7\"   DISABLED_style= \"max-width:90%; height:auto;\" > so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28f%282%29=7%29 ALIGN=MIDDLE  ALT=\"highlight%28f%282%29=7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <BR>\n" );
document.write( "The problem does not ask for a graph, but I like to draw these pictures.<BR>\n" );
document.write( "The graph of that piecewise function looks like this:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28300%2C300%2C-6.5%2C3.5%2C-2%2C8%2C%0D%0Agrid%281%29%2C%0D%0Ablue%28circle%28-2%2C3%2C0.04%29%29%2Cblue%28circle%28-2%2C3%2C0.08%29%29%2C%0D%0Ablue%28circle%28-2%2C3%2C0.12%29%29%2C%0D%0Ablue%28arrow%28-2.08%2C3%2C-6%2C3%29%29%2Cblue%28arrow%28-2.08%2C3.03%2C-6%2C3.03%29%29%2C%0D%0Ablue%28arrow%28-2.08%2C2.97%2C-6%2C2.97%29%29%2C%0D%0Ablue%28arrow%28-1.8%2C5.1%2C3.6%2C7.8%29%29%2Cblue%28arrow%28-1.8%2C5.12%2C3.6%2C7.82%29%29%2C%0D%0Ablue%28arrow%28-1.8%2C5.08%2C3.6%2C7.78%29%29%2C%0D%0Acircle%28-2%2C5%2C0.2%29%2C%0D%0Agreen%28circle%28-2%2C3%2C0.3%29%29%2Cgreen%28circle%28-5%2C3%2C0.3%29%29%2C%0D%0Agreen%28circle%28-0%2C6%2C0.3%29%29%2Cgreen%28circle%282%2C7%2C0.3%29%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > I drew the function in blue and put green circles around the 4 points (x,f(x)) that we calculated. </SPAN>\n" );
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