document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1135782>Question 1135782</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Evaluate the piecewise function at the given value of the independent variable.\r<BR>\n" );
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document.write( "f(x)=   -5x-2 if <4\r<BR>\n" );
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document.write( "        -2x-4  if > 4                Determinre f(7)<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #753464 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=753464\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"times\" color=\"black\" size=\"3\"><BR>\n" );
document.write( "Answer: <font color=red>-18</font>\r<BR>\n" );
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document.write( "How I got that answer:\r<BR>\n" );
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document.write( "The piece wise function f(x) has a dual identity so to speak. It is either <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29+=+-5x-2 ALIGN=MIDDLE  ALT=\"f%28x%29+=+-5x-2\"   DISABLED_style= \"max-width:90%; height:auto;\" > OR <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29+=+-2x-4 ALIGN=MIDDLE  ALT=\"f%28x%29+=+-2x-4\"   DISABLED_style= \"max-width:90%; height:auto;\" >. It depends on what the x value is. Note: f(x) cannot be both at the same time. \r<BR>\n" );
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document.write( "If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%3C+4 ALIGN=MIDDLE  ALT=\"x+%3C+4\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29+=+-5x-2 ALIGN=MIDDLE  ALT=\"f%28x%29+=+-5x-2\"   DISABLED_style= \"max-width:90%; height:auto;\" > as the first line shows in the piecewise function.<BR>\n" );
document.write( "OR<BR>\n" );
document.write( "If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%3E=+4 ALIGN=MIDDLE  ALT=\"x+%3E=+4\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29+=+-2x-4 ALIGN=MIDDLE  ALT=\"f%28x%29+=+-2x-4\"   DISABLED_style= \"max-width:90%; height:auto;\" > as the second line shows in the piecewise function.\r<BR>\n" );
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document.write( "The value x = 7 makes <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%3E=+4 ALIGN=MIDDLE  ALT=\"x+%3E=+4\"   DISABLED_style= \"max-width:90%; height:auto;\" > a true inequality. This value is larger than 4. So we will use <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29+=+-2x-4 ALIGN=MIDDLE  ALT=\"f%28x%29+=+-2x-4\"   DISABLED_style= \"max-width:90%; height:auto;\" > as our function\r<BR>\n" );
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document.write( "Plug in x = 7. Use the order of operations PEMDAS to simplify<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29+=+-2x-4 ALIGN=MIDDLE  ALT=\"f%28x%29+=+-2x-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%287%29+=+-2%287%29-4 ALIGN=MIDDLE  ALT=\"f%287%29+=+-2%287%29-4\"   DISABLED_style= \"max-width:90%; height:auto;\" > Replace every x with 7<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%287%29+=+-14-4 ALIGN=MIDDLE  ALT=\"f%287%29+=+-14-4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%287%29+=+-18 ALIGN=MIDDLE  ALT=\"f%287%29+=+-18\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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