document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=161419>Question 161419</A>: <I><SPAN STYLE=\"word-break: break-all;\"> CAN SOMEONE PLEASE HELP ME WITH THIS PROBLEM:\r<BR>\n" );
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document.write( "Determine whether the graph of the polynomial has y-axis symmetry, origin symmetry, or neither.\r<BR>\n" );
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document.write( "f(x) = 7 - x^4 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #119009 by </B><A HREF=/tutors/aboutme.mpl?userid=gonzo><B>gonzo(654)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=gonzo><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=119009\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> if it has y axis symmetry then the values should be equidistant from the y-axis.<BR>\n" );
document.write( "if it has x-axis symmetry then the values should be equidistant from the x-axis.<BR>\n" );
document.write( "if it has origin symmetry then the values should be equidistant from the origin.<BR>\n" );
document.write( "graph of the equation looks like:<BR>\n" );
document.write( "scan below for further comments.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28800%2C800%2C-10%2C10%2C-1000%2C1000%2C7-x%5E4%29 ALIGN=MIDDLE  ALT=\"graph%28800%2C800%2C-10%2C10%2C-1000%2C1000%2C7-x%5E4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "just looking at the graph i would say it would be symmetric to the y-axis only.<BR>\n" );
document.write( "plotting some points may help as well.<BR>\n" );
document.write( "equation is y = 7 - x^4.<BR>\n" );
document.write( "x = 0, y = 7<BR>\n" );
document.write( "x = +/- 1, y = 6<BR>\n" );
document.write( "x = +/- 2, y = -9<BR>\n" );
document.write( "x = +/- 3, y = -74<BR>\n" );
document.write( "for every value of y, x is the same distance from the y axis.<BR>\n" );
document.write( "my bet is symmetric to the y-axis.<BR>\n" );
document.write( "a test is if you replace x with -x and the y value is the same, then the equation is symmetric about the x axis.<BR>\n" );
document.write( "that is the case with this one.<BR>\n" );
document.write( "good online explanation is at the following url.<BR>\n" );
document.write( "http://tutorial.math.lamar.edu/classes/alg/symmetry.aspx\r<BR>\n" );
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