document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=113512>Question 113512</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do I find the domain and the range for the function   f(x)=ex <BR>\n" );
document.write( "and express both in interval notation.\r<BR>\n" );
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document.write( "NOTE:  the (x) following the (e) should be written like expanded notation, I just do not know how to do that on the computer.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #82579 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=82579\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I think what you mean is that the x should be exponential notation.  In other words, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=e%5Ex ALIGN=MIDDLE  ALT=\"f%28x%29=e%5Ex\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  The way to do that on the computer in plain text is e^x.\r<BR>\n" );
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document.write( "Now, you want the domain and the range.  We can see this from an examination of the graph of  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=e%5Ex ALIGN=MIDDLE  ALT=\"f%28x%29=e%5Ex\"   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=graph%28600%2C600%2C-4%2C4%2C-4%2C4%2C2.71828%5Ex%29 ALIGN=MIDDLE  ALT=\"graph%28600%2C600%2C-4%2C4%2C-4%2C4%2C2.71828%5Ex%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "From the graph, we can see that the domain (all possible values for x) is all Real numbers, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-infinity+%3C+x+%3C+infinity ALIGN=MIDDLE  ALT=\"-infinity+%3C+x+%3C+infinity\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The value of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=e%5Ex ALIGN=MIDDLE  ALT=\"e%5Ex\"   DISABLED_style= \"max-width:90%; height:auto;\" > can never be zero or negative, so the range is all positive reals, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0%3Cf%28x%29%3Cinfinity ALIGN=MIDDLE  ALT=\"0%3Cf%28x%29%3Cinfinity\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Hope that helps,<BR>\n" );
document.write( "John </SPAN>\n" );
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