document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=469344>Question 469344</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 4. Use transformations to graph the following function and submit the graph. Also state (a) the domain, (b) the range, (c) the horizontal asymptote. <BR>\n" );
document.write( " f(x)= e^-x\r<BR>\n" );
document.write( "\n" );
document.write( "please help! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #321988 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=321988\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Use transformations to graph the following function and submit the graph. Also state (a) the domain, (b) the range, (c) the horizontal asymptote. <BR>\n" );
document.write( "f(x)= e^-x <BR>\n" );
document.write( "----<BR>\n" );
document.write( "y = e^x is a growth function with horizontal asymptote y = 0<BR>\n" );
document.write( "and y-intercept (0,1)<BR>\n" );
document.write( "Graph of y = e^x<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C400%2C-10%2C10%2C-10%2C10%2Ce%5Ex%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C400%2C-10%2C10%2C-10%2C10%2Ce%5Ex%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "----<BR>\n" );
document.write( "y = e^(-x) reflects y = e^x in the y-axis.  The HA and<BR>\n" );
document.write( "the y-intercept remain the same.<BR>\n" );
document.write( "Graph of y = e^-x<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C400%2C-10%2C10%2C-10%2C10%2Ce%5E%28-x%29%29%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C400%2C-10%2C10%2C-10%2C10%2Ce%5E%28-x%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--------------------------<BR>\n" );
document.write( "Domain : All Real Numbers<BR>\n" );
document.write( "Range: y > 0 <BR>\n" );
document.write( "HA: y = 0<BR>\n" );
document.write( "==================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "================== </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );