document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=865322>Question 865322</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Having some trouble with this problem can someone give me a hand? I'm really just having trouble getting the x and y intercepts my teacher confused me when he explained it. So if someone could explain how to get them it would really help.\r<BR>\n" );
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document.write( "let f(x)=log[base 3](9-3x)<BR>\n" );
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document.write( "Domain: Which I think is (-oo,3)<BR>\n" );
document.write( "Range: All real numbers<BR>\n" );
document.write( "Vertical Asymptote:I think its x=3<BR>\n" );
document.write( "X-Intercept:?<BR>\n" );
document.write( "Y-Intercept:?<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 #521610 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=521610\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You have the correct domain and range. Also, you have the correct vertical asymptote. Nice work on getting those right. \r<BR>\n" );
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document.write( "To find the x-intercept, you plug in y = 0 or f(x) = 0 and solve for x.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29+=+log%283%2C%289-3x%29%29 ALIGN=MIDDLE  ALT=\"f%28x%29+=+log%283%2C%289-3x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0+=+log%283%2C%289-3x%29%29 ALIGN=MIDDLE  ALT=\"0+=+log%283%2C%289-3x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in f(x) = 0. Remember that f(x) and y are interchangeable.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%5E0+=+9-3x ALIGN=MIDDLE  ALT=\"3%5E0+=+9-3x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-8%2F%28-3%29=x ALIGN=MIDDLE  ALT=\"-8%2F%28-3%29=x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2F3=x ALIGN=MIDDLE  ALT=\"8%2F3=x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=8%2F3 ALIGN=MIDDLE  ALT=\"x=8%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The x-intercept is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2F3 ALIGN=MIDDLE  ALT=\"8%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > which is the point (8/3, 0)\r<BR>\n" );
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document.write( "Note: since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2F3=2.6666667 ALIGN=MIDDLE  ALT=\"8%2F3=2.6666667\"   DISABLED_style= \"max-width:90%; height:auto;\" > approximately, this means that the x-intercept is approximately the point (2.6666667,0)\r<BR>\n" );
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document.write( "To find the y-intercept, you plug in x = 0 and solve for y (or f(x)).\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29+=+log%283%2C%289-3x%29%29 ALIGN=MIDDLE  ALT=\"f%28x%29+=+log%283%2C%289-3x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%280%29+=+log%283%2C%289-3%280%29%29%29 ALIGN=MIDDLE  ALT=\"f%280%29+=+log%283%2C%289-3%280%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in x = 0.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%280%29+=+2%2Alog%283%2C%283%29%29 ALIGN=MIDDLE  ALT=\"f%280%29+=+2%2Alog%283%2C%283%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The y-intercept is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2 ALIGN=MIDDLE  ALT=\"2\"   DISABLED_style= \"max-width:90%; height:auto;\" > which is the point (0,2)\r<BR>\n" );
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document.write( "Here is the graph of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29+=+log%283%2C%289-3x%29%29 ALIGN=MIDDLE  ALT=\"f%28x%29+=+log%283%2C%289-3x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > (the red curve). The blue vertical dashed line is the vertical asymptote. The red curve will never touch or cross the blue dashed line (even though it looks like it does). It will just get closer and closer to it.\r<BR>\n" );
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