document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=56039>Question 56039</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0618073639/algebrahomeworkh>Applied College Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> 4. If h(x) = x^3 - x, what is the relationship between h(-3) and -h(-3)? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #38006 by </B><A HREF=/tutors/aboutme.mpl?userid=venugopalramana><B>venugopalramana(3286)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=venugopalramana><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.geocities.com/venugopalramana/FREE_MATHS_ASSISTANCE.html valign=middle><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=38006\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 4. If h(x) = x^3 - x, what is the relationship between h(-3) and -h(-3)?<BR>\n" );
document.write( "h(x) is an odd function ...since <BR>\n" );
document.write( "H(A)= A^3-A....AND<BR>\n" );
document.write( "H(-A) = (-A)^3-(-A)= -A^3+A= -(A^3-A)= -H(A)<BR>\n" );
document.write( "HENCE <BR>\n" );
document.write( "H(3) = 3^3 - 3 =27-3 =24<BR>\n" );
document.write( "H(-3) = (-3)^3-(-3)= -27+3 = -24<BR>\n" );
document.write( "SO....H(3) = -H(-3) </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );