document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=465712>Question 465712</A>: <I><SPAN STYLE=\"word-break: break-all;\"> For the function below, provide the following: (A)x-intercept(s) (B)y-intercept(s) (C)end behavior of the graph (D)graph of this function. Please show all of your work and submit your graph. f(x) = (x – 4)(x – 2)(x – 1)\r<BR>\n" );
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document.write( "I need some help please.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #319180 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=319180\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> For the function below, provide the following: (A)x-intercept(s) (B)y-intercept(s) (C)end behavior of the graph (D)graph of this function. Please show all of your work and submit your graph. f(x) = (x – 4)(x – 2)(x – 1) <BR>\n" );
document.write( "...<BR>\n" );
document.write( "f(x) = (x – 4)(x – 2)(x – 1) <BR>\n" );
document.write( "(A) To find x-intercepts (zeros), set f(x) =0, then solve for x<BR>\n" );
document.write( "x-4=0<BR>\n" );
document.write( "x=4<BR>\n" );
document.write( "..<BR>\n" );
document.write( "x-2=0<BR>\n" );
document.write( "x=2<BR>\n" );
document.write( "..<BR>\n" );
document.write( "x-1=0<BR>\n" );
document.write( "x=1<BR>\n" );
document.write( "..<BR>\n" );
document.write( "(B) To find y-intercept, set x=0, then solve for y<BR>\n" );
document.write( "y=(-4)(-2)(-1)=-8<BR>\n" );
document.write( "..<BR>\n" );
document.write( "(C) End behavior:<BR>\n" );
document.write( "You can see that for x>0, f(x)>0<BR>\n" );
document.write( "The sign of f(x) switches every time we go thru zeros, 4, 2, & 1. (This happens when the factors are of odd multiplicity ;ie, 1, 3, 5 etc.)<BR>\n" );
document.write( "(4, &#8734;), f(x)>0<BR>\n" );
document.write( "(2, 4), f(x)<0<BR>\n" );
document.write( "(1, 2), f(x)>0<BR>\n" );
document.write( "(-&#8734;, 1), f(x)<0<BR>\n" );
document.write( "..<BR>\n" );
document.write( "(D) Graphing:<BR>\n" );
document.write( "See the following graph as a visual check on the answers<BR>\n" );
document.write( "..<BR>\n" );
document.write( "y)=x^3-7x^2+14x-8<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+400%2C+400%2C+-10%2C+10%2C+-10%2C+10%2Cx%5E3-7x%5E2%2B14x-8%29%29+ ALIGN=MIDDLE  ALT=\"+graph%28+400%2C+400%2C+-10%2C+10%2C+-10%2C+10%2Cx%5E3-7x%5E2%2B14x-8%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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