document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=544904>Question 544904</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Could someone please tell me if these functions are odd, even or neither?\r<BR>\n" );
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document.write( "a.  y = 2x^2<BR>\n" );
document.write( "b.  y = 2(x + 1)^2<BR>\n" );
document.write( "c.  y = 5x^1/4<BR>\n" );
document.write( "d.  y = x^2 - 4\r<BR>\n" );
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document.write( "I have a.even b. odd c. neither and d. even\r<BR>\n" );
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document.write( "thank you  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #359282 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=359282\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Could someone please tell me if these functions are odd, even or neither? <BR>\n" );
document.write( "a. y = 2x^2<BR>\n" );
document.write( "b. y = 2(x + 1)^2<BR>\n" );
document.write( "c. y = 5x^1/4<BR>\n" );
document.write( "d. y = x^2 - 4 <BR>\n" );
document.write( "**<BR>\n" );
document.write( "if f(-x)=f(x), function is even<BR>\n" );
document.write( "if f(-x)=-f(x), function is odd<BR>\n" );
document.write( "..<BR>\n" );
document.write( "a. y = 2x^2<BR>\n" );
document.write( "f(-x)=2x^2=f(x), therefore, function is even<BR>\n" );
document.write( "..<BR>\n" );
document.write( "b. y = 2(x + 1)^2=2(x^2+2x+1)<BR>\n" );
document.write( "f(-x)= 2(-x+1)^2=2(x^2-2x+1)<BR>\n" );
document.write( "function neither odd or even<BR>\n" );
document.write( "..<BR>\n" );
document.write( "c. y = 5x^1/4<BR>\n" );
document.write( "f(-x)=5(-x)^1/4<BR>\n" );
document.write( "function neither odd or even, can't take an even root(4) of a negative number(-x)<BR>\n" );
document.write( "..<BR>\n" );
document.write( "d. y = x^2 - 4<BR>\n" );
document.write( "f(-x)=(-x)^2-4=x^2-4=f(x), therefore, function is even </SPAN>\n" );
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