document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1096363>Question 1096363</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given the function y = f(x) = -x^2 + 8x -12. Suppose the domain of the function is restricted to the semi-open interval (3,7]. What is the corresponding range of the function in interval notion? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #710881 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=710881\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Graph can make the range and domain a little easier to recognize.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C300%2C-5%2C15%2C-15%2C5%2C-x%5E2%2B8x-12%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C300%2C-5%2C15%2C-15%2C5%2C-x%5E2%2B8x-12%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Lowest point in range is at x=7.<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-49%2B56-12 ALIGN=MIDDLE  ALT=\"-49%2B56-12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-5 ALIGN=MIDDLE  ALT=\"-5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Minimum of the range is AT f=-5\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1%28x%5E2-8x%2B12%29 ALIGN=MIDDLE  ALT=\"-1%28x%5E2-8x%2B12%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Roots at x=2 and x=6, so maximum f is at x=4.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-%284%29%5E2%2B8%284%29-12 ALIGN=MIDDLE  ALT=\"-%284%29%5E2%2B8%284%29-12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-16%2B32-12 ALIGN=MIDDLE  ALT=\"-16%2B32-12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16-12 ALIGN=MIDDLE  ALT=\"16-12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4 ALIGN=MIDDLE  ALT=\"4\"   DISABLED_style= \"max-width:90%; height:auto;\" >--------maximum f.\r<BR>\n" );
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document.write( "RANGE of f:<BR>\n" );
document.write( "-5  to  +4. </SPAN>\n" );
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