document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=91830>Question 91830</A>: <I><SPAN STYLE=\"word-break: break-all;\">  The graph of the basic exponential function (y = bx) has two distinctive characteristics: \r<BR>\n" );
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document.write( "a) having a y intercept of (0,1), and \r<BR>\n" );
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document.write( "b) having a horizontal asymptote of y=0. \r<BR>\n" );
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document.write( "Since inverse functions have their domains and ranges interchanged, what impact does this have for the graph of y = logb(x </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #66677 by </B><A HREF=/tutors/aboutme.mpl?userid=Nate><B>Nate(3500)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Nate><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=66677\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Basic Form: y = a(b^x)<BR>\n" );
document.write( "a) having a y intercept of (0,1)<BR>\n" );
document.write( "y = a(b^x)<BR>\n" );
document.write( "1 = a(b^0)<BR>\n" );
document.write( "1 = a(1)<BR>\n" );
document.write( "so: y = b^x<BR>\n" );
document.write( "b) having a horizontal asymptote of y=0<BR>\n" );
document.write( "All exponential equations in the form <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+a%28b%5Ex%29 ALIGN=MIDDLE  ALT=\"y+=+a%28b%5Ex%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > have a horizontal asymptote as <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;\" >. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b ALIGN=MIDDLE  ALT=\"b\"   DISABLED_style= \"max-width:90%; height:auto;\" > is defined by any number...<BR>\n" );
document.write( "Red Line: b = 2<BR>\n" );
document.write( "Green Line: b = 3<BR>\n" );
document.write( "Blue Line: b = 4<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C200%2C-6%2C6%2C-1%2C6%2C2%5Ex%2C3%5Ex%2C4%5Ex%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C200%2C-6%2C6%2C-1%2C6%2C2%5Ex%2C3%5Ex%2C4%5Ex%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Since inverse functions have their domains and ranges interchanged, what impact does this have for the graph of y = logb(x).<BR>\n" );
document.write( "~ y = b^x ~<BR>\n" );
document.write( "Domain: All Reals<BR>\n" );
document.write( "Range: y > 0<BR>\n" );
document.write( "~ y = logb(x) ~<BR>\n" );
document.write( "Domain: y > 0<BR>\n" );
document.write( "Range: All Reals<BR>\n" );
document.write( "Red Line: b = 2<BR>\n" );
document.write( "Green Line: b = 3<BR>\n" );
document.write( "Blue Line: b = 4<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C200%2C-1%2C6%2C-6%2C6%2Clog%282%2Cx%29%2Clog%283%2Cx%29%2Clog%284%2Cx%29%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C200%2C-1%2C6%2C-6%2C6%2Clog%282%2Cx%29%2Clog%283%2Cx%29%2Clog%284%2Cx%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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