document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=416047>Question 416047</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need help with this question. It says:\r<BR>\n" );
document.write( "\n" );
document.write( "Is there an even function whose domain is all real numbers and that is always decreasing? Explain.\r<BR>\n" );
document.write( "\n" );
document.write( "Thanks for any help! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #291561 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=291561\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Is there an even function whose domain is all real numbers and that is always decreasing? Explain. <BR>\n" );
document.write( "--------<BR>\n" );
document.write( "If the function is even, it is symmetric to the y-axis.<BR>\n" );
document.write( "Then f(x) = f(-x) for all x in the domain;  so it cannot <BR>\n" );
document.write( "always be decreasing.<BR>\n" );
document.write( "======================================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );