document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=435111>Question 435111</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1)Given  f(X)= x³-5x:<BR>\n" );
document.write( "a)Use the leading coefficient test to determine the end result behavior  of the graph of f(x)<BR>\n" );
document.write( "b)Find the zeros of f(x)<BR>\n" );
document.write( "c)Demonstrate the remaining steps necessary for graphing this function and use this information to graph f(x).<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 #301233 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=301233\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1)Given f(X)= x³-5x:<BR>\n" );
document.write( "a)Use the leading coefficient test to determine the end result behavior of the graph of f(x)<BR>\n" );
document.write( "---<BR>\n" );
document.write( "As x goes to -inf, x^3 goes to -inf, so f(X) goes to -inf.<BR>\n" );
document.write( "As x goes to +inf, x^3 goes to +inf, so f(X) goes to +inf.<BR>\n" );
document.write( "----------------------------<BR>\n" );
document.write( "b)Find the zeros of f(x)<BR>\n" );
document.write( "Solve x^3-5x = 0<BR>\n" );
document.write( "x(x^2-5) = 0<BR>\n" );
document.write( "x(x-sqrt(5))(x+sqrt(5)) = 0<BR>\n" );
document.write( "x = 0 or -sqrt(5) or +sqrt(5)<BR>\n" );
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document.write( "c)Demonstrate the remaining steps necessary for graphing this function and use this information to graph f(x).<BR>\n" );
document.write( "y-intercept = 0^3-5*0 = 0<BR>\n" );
document.write( "------<BR>\n" );
document.write( "Other analysis depends on what your text requires.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "====================<BR>\n" );
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