document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=631252>Question 631252</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi! I don't understand what to do with the slant asymptote when I am finding the graph function. For example:<BR>\n" );
document.write( "Zero's of the function: -4 and 2<BR>\n" );
document.write( "Vertical asymptote: 0<BR>\n" );
document.write( "Slant/ Oblique Asymptote: y=(1/8)x+(1/4)<BR>\n" );
document.write( "Thank you very much! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #397758 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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/cgi-bin/show-face.mpl?user=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=397758\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Are you asking how to graph/sketch the function?<BR>\n" );
document.write( "A function like <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=%28x%2B4%29%28x-2%29%2F8x ALIGN=MIDDLE  ALT=\"f%28x%29=%28x%2B4%29%28x-2%29%2F8x\"   DISABLED_style= \"max-width:90%; height:auto;\" > would have those zeros and those asymptotes. (There are many others).<BR>\n" );
document.write( "The graph for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=%28x%2B4%29%28x-2%29%2F8x ALIGN=MIDDLE  ALT=\"f%28x%29=%28x%2B4%29%28x-2%29%2F8x\"   DISABLED_style= \"max-width:90%; height:auto;\" > looks like this:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C300%2C-10%2C10%2C-5%2C5%2C%28x%5E2%2B2x-8%29%2F8x%2C%28x%2B2%29%2F8%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C300%2C-10%2C10%2C-5%2C5%2C%28x%5E2%2B2x-8%29%2F8x%2C%28x%2B2%29%2F8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > (The green line is the asymptote).<BR>\n" );
document.write( "To sketch a function, I would start by graphing the zeros and the asymptotes.<BR>\n" );
document.write( "(I would also graph any \"holes\" or \"steps\" where the function is not defined, but does not have a vertical asymptote).<BR>\n" );
document.write( "Next, I would figure out where the function is positive and where it is negative.<BR>\n" );
document.write( "Then, I would figure out where the function is increasing, and where it is decreasing. (If there is any local maximum and/or minimum, I would graph that point too.<BR>\n" );
document.write( "Finally, I would sketch a smooth curve that goes through the graphed points, and gets closer and closer to the asymptotes as it heads out of the graph.<BR>\n" );
document.write( " </SPAN>\n" );
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