document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=109597>Question 109597</A>: <I><SPAN STYLE=\"word-break: break-all;\"> i need to analyze and graph f(x)= (x^3-1)/(x)  <BR>\n" );
document.write( "please i need to finmd the domain of f, the range of f, the x-intercepts, the y-intercepts, the numbers at which f has a relative maximum, the relative maxima of f, intervals at which f is increasing, and if f is even, odd or neither ..... \r<BR>\n" );
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document.write( "i really need help :( thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #79884 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=79884\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> i need to analyze and graph f(x)= (x^3-1)/(x)  <BR>\n" );
document.write( "please i need to <BR>\n" );
document.write( "find the domain of f: All Real Numbers except x=0<BR>\n" );
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document.write( "the range of f: all Real Numbers<BR>\n" );
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document.write( "the x-intercepts; Let y = 0 and solve for x; x^3-1=0; x=cube rt (1) = 1<BR>\n" );
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document.write( "the y-intercepts: Let x=0 and solve for y: y=-1/0; no y-intercepts<BR>\n" );
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document.write( "the numbers at which f has a relative maximum<BR>\n" );
document.write( "none<BR>\n" );
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document.write( "The derivative = [x(3x^2)-(x^3-1)*1]/x^2<BR>\n" );
document.write( "f'(x) = [3x^3-x^3+1]/x^2<BR>\n" );
document.write( "Solve for x when f'(x)=0:<BR>\n" );
document.write( "2x^3+1=0<BR>\n" );
document.write( "x^3 = -1/2<BR>\n" );
document.write( "x = (-1/2)^(1/3)= -0.7937...\r<BR>\n" );
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document.write( "the relative maxima of f<BR>\n" );
document.write( "No relative maximum<BR>\n" );
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document.write( "intervals at which f is increasing<BR>\n" );
document.write( "(-0.7937..,0) U (0,+inf)<BR>\n" );
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document.write( "and if f is even, odd or neither .....<BR>\n" );
document.write( "f(x) does not equal f(-x) so f is not even<BR>\n" );
document.write( "f(-x) does not equal -f(x) so f is not odd<BR>\n" );
document.write( "f is neither odd nor even<BR>\n" );
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document.write( "Graph:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C300%2C-10%2C10%2C-40%2C40%2C%28x%5E3-1%29%2F%28x%29%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C300%2C-10%2C10%2C-40%2C40%2C%28x%5E3-1%29%2F%28x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. \r<BR>\n" );
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document.write( " </SPAN>\n" );
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