document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=534354>Question 534354</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Analyze the graph of the following function as follows:\r<BR>\n" );
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document.write( "(a) Find the x- and y-intercepts.\r<BR>\n" );
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document.write( "(b) Determine the end behavior: find the power function that the graph of f resembles for large values of |x|.\r<BR>\n" );
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document.write( "(c) Find the maximum number of turning points.\r<BR>\n" );
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document.write( "(d) Graph the function.\r<BR>\n" );
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document.write( "Please show all of your work.<BR>\n" );
document.write( "f(x) = (x – 3)(x – 1)(x + 2)  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #351488 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=351488\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  Analyze the graph of the following function as follows: <BR>\n" );
document.write( "(a) Find the x- and y-intercepts. <BR>\n" );
document.write( "y-intercept:<BR>\n" );
document.write( "set x=0, then solve for y<BR>\n" );
document.write( "y-intercept=-3*-1*2=6<BR>\n" );
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document.write( "x-intercepts<BR>\n" );
document.write( "set y=0, then solve for x<BR>\n" );
document.write( "(x – 3)(x – 1)(x + 2)=0<BR>\n" );
document.write( "x-intercepts=3, 1, and -2<BR>\n" );
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document.write( "(b) Determine the end behavior: find the power function that the graph of f resembles for large values of |x|. <BR>\n" );
document.write( "I'm not absolutely sure about this, but I think the graph of this function for large values of |x|resembles that of a parabola which opens upwards, that is y=x^2\r<BR>\n" );
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document.write( "(c) Find the maximum number of turning points. <BR>\n" );
document.write( "The maximum number of turning points is one less than the degree of f(x)<BR>\n" );
document.write( "It is 2 since the degree of the function is 3\r<BR>\n" );
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document.write( "(d) Graph the function. See graph below:<BR>\n" );
document.write( "Please show all of your work.<BR>\n" );
document.write( "f(x) = (x – 3)(x – 1)(x + 2)=x^3-2x^2-5x+6<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-10%2C+10%2C+-10%2C+10%2Cx%5E3-2x%5E2-5x%2B6%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+200%2C+-10%2C+10%2C+-10%2C+10%2Cx%5E3-2x%5E2-5x%2B6%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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