document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1105190>Question 1105190</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Which statements represent the relationship between <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y=3%5Ex+ ALIGN=MIDDLE  ALT=\"+y=3%5Ex+\"   DISABLED_style= \"max-width:90%; height:auto;\" >} and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y=log_3+%28x%29+ ALIGN=MIDDLE  ALT=\"+y=log_3+%28x%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >?\r<BR>\n" );
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document.write( "Choose all the correct answers:<BR>\n" );
document.write( "a) The graphs of the functions are symmetric about the line y=x.<BR>\n" );
document.write( "b) The equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y=log_3+%28x%29+ ALIGN=MIDDLE  ALT=\"+y=log_3+%28x%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the logarithmic form of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+3x+ ALIGN=MIDDLE  ALT=\"+y+=+3x+\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "c) The functions are inverses of each other.<BR>\n" );
document.write( "d) The graphs of the functions are symmetric about the line y=0.\r<BR>\n" );
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document.write( "I think the answers are () and (d). But I'm not so sure. This is very urgent, so immediate help will be VERY appreciated!!! Thanks!! :) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #719930 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=719930\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I would agree if your teacher said that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=log%283%2Cx%29 ALIGN=MIDDLE  ALT=\"y=log%283%2Cx%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the logarithmic form of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=3%5Ey ALIGN=MIDDLE  ALT=\"x=3%5Ey\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "because when one equation is true so is the other,<BR>\n" );
document.write( "but option b does not say that.<BR>\n" );
document.write( "Neither graph by itself shows any symmetry, but they are inverse functions, and as you interchange x for y to get an inverse function, you are flipping the graph so that the x-axis becomes the y-axis and vice versa. That make inverse mirror images of each other, and the line y=x is the mirror.<BR>\n" );
document.write( "This is the graph of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=3%5Ex ALIGN=MIDDLE  ALT=\"y=3%5Ex\"   DISABLED_style= \"max-width:90%; height:auto;\" > <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C300%2C-2%2C3%2C-1%2C9%2C3%5Ex%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C300%2C-2%2C3%2C-1%2C9%2C3%5Ex%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "and the graph of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=log%283%2Cx%29 ALIGN=MIDDLE  ALT=\"y=log%283%2Cx%29\"   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-1%2C9%2C-2%2C3%2Clog%283%2Cx%29%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C300%2C-1%2C9%2C-2%2C3%2Clog%283%2Cx%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "Both graphs together, along with the line <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=x ALIGN=MIDDLE  ALT=\"y=x\"   DISABLED_style= \"max-width:90%; height:auto;\" > look like this:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C300%2C-2%2C8%2C-2%2C8%2C3%5Ex%2Clog%283%2Cx%29%2Cx%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C300%2C-2%2C8%2C-2%2C8%2C3%5Ex%2Clog%283%2Cx%29%2Cx%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "You know that the line <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=0 ALIGN=MIDDLE  ALT=\"y=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the x-axis.<BR>\n" );
document.write( "What do you think of choices a and d now? </SPAN>\n" );
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