document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=972979>Question 972979</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve/graph this!<BR>\n" );
document.write( "f(x)= Log2(x+1)+2 <BR>\n" );
document.write( "thank you!  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #595252 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=595252\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Here's the graph:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+400%2C+400%2C+-6%2C+6%2C+-6%2C+6%2C+log%28+2%2C+x%2B1+%29+%2B+2+%29+ ALIGN=MIDDLE  ALT=\"+graph%28+400%2C+400%2C+-6%2C+6%2C+-6%2C+6%2C+log%28+2%2C+x%2B1+%29+%2B+2+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The graph goes through ( 0, 2 ) since<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+f%280%29+=+log%28+2%2C1+%29+%2B+2+ ALIGN=MIDDLE  ALT=\"+f%280%29+=+log%28+2%2C1+%29+%2B+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+f%280%29+=+0+%2B+2+ ALIGN=MIDDLE  ALT=\"+f%280%29+=+0+%2B+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+ ALIGN=MIDDLE  ALT=\"+x+\"   DISABLED_style= \"max-width:90%; height:auto;\" > can never be more negative than <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-1+ ALIGN=MIDDLE  ALT=\"+-1+\"   DISABLED_style= \"max-width:90%; height:auto;\" > since<BR>\n" );
document.write( "that would mean a log which gives you a negative number<BR>\n" );
document.write( "which is impossible<BR>\n" );
document.write( "--------------------<BR>\n" );
document.write( "As <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+ ALIGN=MIDDLE  ALT=\"+x+\"   DISABLED_style= \"max-width:90%; height:auto;\" > approaches <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-1+ ALIGN=MIDDLE  ALT=\"+-1+\"   DISABLED_style= \"max-width:90%; height:auto;\" >,  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+f%28x%29+ ALIGN=MIDDLE  ALT=\"+f%28x%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > becomes more<BR>\n" );
document.write( "negative since<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log%28+2%2C+0+%29+ ALIGN=MIDDLE  ALT=\"+log%28+2%2C+0+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = minus infinity<BR>\n" );
document.write( "------------------------------<BR>\n" );
document.write( "When <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+f%28x%29+=+0+ ALIGN=MIDDLE  ALT=\"+f%28x%29+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+0+=+log%28+2%2C+x%2B1+%29+%2B+2+ ALIGN=MIDDLE  ALT=\"+0+=+log%28+2%2C+x%2B1+%29+%2B+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log%28+2%2C+x%2B1+%29+=+-2+ ALIGN=MIDDLE  ALT=\"+log%28+2%2C+x%2B1+%29+=+-2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2%5E%28-2%29+=+x+%2B+1+ ALIGN=MIDDLE  ALT=\"+2%5E%28-2%29+=+x+%2B+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1%2F4+=+x+%2B+1+ ALIGN=MIDDLE  ALT=\"+1%2F4+=+x+%2B+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+-3%2F4+ ALIGN=MIDDLE  ALT=\"+x+=+-3%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "which seems to agree with plot<BR>\n" );
document.write( "Hope this helps<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );