document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=975836>Question 975836</A>: <I><SPAN STYLE=\"word-break: break-all;\"> evaulate the piecewise function.<BR>\n" );
document.write( "f(x)= <BR>\n" );
document.write( "6 if x &#8804;3<BR>\n" );
document.write( "3x-5 if x > 3<BR>\n" );
document.write( "f(-4)=<BR>\n" );
document.write( "f(0)=<BR>\n" );
document.write( "f(3)=<BR>\n" );
document.write( "f(4)=<BR>\n" );
document.write( "f(6)= </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #597491 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=597491\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The piecewise function basically breaks down into\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "f(x) = 6 if x <= 3<BR>\n" );
document.write( "OR<BR>\n" );
document.write( "f(x) = 3x-5 if x > 3\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "-------------------------------------------------------\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "f(-4) = 6 <BR>\n" );
document.write( "because x = -4, which is less than or equal to 3, this means we use the first definition of f(x) above\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "f(0) = 6<BR>\n" );
document.write( "x = 0 makes x <=3 true<BR>\n" );
document.write( "same reasoning as f(-4)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "f(3) = 6<BR>\n" );
document.write( "same reasoning as f(0) and f(-4) above\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "--------------\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "f(x) = 3x - 5<BR>\n" );
document.write( "f(4) = 3*4 - 5<BR>\n" );
document.write( "f(4) = 7<BR>\n" );
document.write( "now we use the second definition since x = 4 makes x > 3 true.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "f(x) = 3x - 5<BR>\n" );
document.write( "f(6) = 3*6 - 5<BR>\n" );
document.write( "f(6) = 13<BR>\n" );
document.write( "we use the second definition since x = 6 makes x > 3 true.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "------------------------------------------------------------------------------------------------------------------------\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "If you need more one-on-one help, email me at <a  rel=nofollow HREF=\"mailto:jim_thompson5910@hotmail.com?Subject=I%20Need%20Algebra%20Help\">jim_thompson5910@hotmail.com</a>. You can ask me a few more questions for free, but afterwards, I would charge you ($2 a problem to have steps shown or $1 a problem for answer only).\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Alternatively, please consider visiting my website: <a  rel=nofollow HREF=\"http://www.freewebs.com/jimthompson5910/home.html\">http://www.freewebs.com/jimthompson5910/home.html</a> and making a donation. Any amount is greatly appreciated as it helps me a lot. This donation is to support free tutoring. Thank you.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Jim\r<BR>\n" );
document.write( "\n" );
document.write( "------------------------------------------------------------------------------------------------------------------------ </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );