document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1132994>Question 1132994</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Help we have been working on this question all day, please help\r<BR>\n" );
document.write( "\n" );
document.write( "A periodic function has a period of 6. If f(3)=-1 and f(8)=5   Determine f(20) and f(-9) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #750152 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13215)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=750152\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "If a function is periodic with period 6, then if it is given that f(3) = -1, then the function value is also -1 for any input value that is any multiple of 3 less than or greater than 3.  That is,<br><BR>\n" );
document.write( "..., f(-15) = -1, f(-9) = -1, f(-3) = -1, f(9) = -1, f(15) = -1, ...<br><BR>\n" );
document.write( "So there is the answer to one of your questions.<br><BR>\n" );
document.write( "In a similar manner, what do you know about the values of f(8) and f(20)?<br><BR>\n" );
document.write( "-----------------------------------------------<BR>\n" );
document.write( "Added in response to reader's question...<br><BR>\n" );
document.write( "Yes. 20 = 8+2(6), so f(20) = f(8) = 5 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );