document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=841946>Question 841946</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Determine if the function f(x)=x^3|4x| is even, odd, or neither </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #507279 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=507279\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> f(x)=x^3|4x|\r<BR>\n" );
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document.write( "f(-x)=(-x)^3|4(-x)|\r<BR>\n" );
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document.write( "f(-x)=-x^3|4x|\r<BR>\n" );
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document.write( "So f(x) does NOT equal f(-x). Therefore, the function is NOT even.\r<BR>\n" );
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document.write( "f(x)=x^3|4x|\r<BR>\n" );
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document.write( "-f(x)=-x^3|4x|\r<BR>\n" );
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document.write( "but we can see that f(-x) = -f(x), so f(x) is indeed an odd function.\r<BR>\n" );
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document.write( "Answer: f(x) is an <font color=\"red\">odd</font> function. </SPAN>\n" );
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