document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1042742>Question 1042742</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Determine whether the rational function has symmetry with respect to the origin, symmetry with respect to the y-axis, or neither.\r<BR>\n" );
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document.write( "f(x) = -9x^2-9x-10/7x+7<BR>\n" );
document.write( "    a. symmetry with respect to the origin<BR>\n" );
document.write( "    b. symmetry with respect to the y-axis<BR>\n" );
document.write( "    c. neither<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #657778 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=657778\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29+=+%28-9x%5E2-9x-10%29%2F%287x%2B7%29 ALIGN=MIDDLE  ALT=\"f%28x%29+=+%28-9x%5E2-9x-10%29%2F%287x%2B7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28-x%29+=+%28-9%28-x%29%5E2-9%28-x%29-10%29%2F%287%28-x%29%2B7%29 ALIGN=MIDDLE  ALT=\"f%28-x%29+=+%28-9%28-x%29%5E2-9%28-x%29-10%29%2F%287%28-x%29%2B7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Replace every 'x' with '-x'\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28-x%29+=+%28-9x%5E2%2B9x-10%29%2F%28-7x%2B7%29 ALIGN=MIDDLE  ALT=\"f%28-x%29+=+%28-9x%5E2%2B9x-10%29%2F%28-7x%2B7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "We can see that f(x) and f(-x) are two completely different functions. \r<BR>\n" );
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document.write( "So f(x) is NOT even.\r<BR>\n" );
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document.write( "This means the function does NOT have symmetry with respect to the y axis.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1%2Af%28x%29+=+-1%2A%28%28-9x%5E2-9x-10%29%2F%287x%2B7%29%29 ALIGN=MIDDLE  ALT=\"-1%2Af%28x%29+=+-1%2A%28%28-9x%5E2-9x-10%29%2F%287x%2B7%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply both sides by -1\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-f%28x%29+=+%28-1%28-9x%5E2-9x-10%29%29%2F%287x%2B7%29 ALIGN=MIDDLE  ALT=\"-f%28x%29+=+%28-1%28-9x%5E2-9x-10%29%29%2F%287x%2B7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "We can see that f(-x) and -f(x) are two completely different functions. \r<BR>\n" );
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document.write( "So f(x) is NOT odd.\r<BR>\n" );
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document.write( "This means the function does NOT have symmetry with respect to the origin.\r<BR>\n" );
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document.write( "The final answer is choice C) Neither.  </SPAN>\n" );
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