document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=976360>Question 976360</A>: <I><SPAN STYLE=\"word-break: break-all;\"> what is an exponential functions? \r<BR>\n" );
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document.write( "what is a natural exponential functions? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #597963 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=597963\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "The questions \"What <i>is</i> an exponential function<i>s</i>?\" and \"What <i>is</i> a natural exponential function<i>s</i>?\" are both examples of poor English grammar.\r<BR>\n" );
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document.write( "Perhaps you meant:\r<BR>\n" );
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document.write( "\"What <i>are</i> exponential function<i>s</i>?\" and \"What <i>are</i> natural  exponential function<i>s</i>?\"\r<BR>\n" );
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document.write( "An exponential function is a function where the variable is in the exponent.  A natural exponential function is an exponential function that has the Euler number, <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large e\">, as the base.\r<BR>\n" );
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document.write( "Example of a general exponential function:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ f(x)\ =\ a^x\">\r<BR>\n" );
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document.write( "Example of a natural exponential function:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ f(x)\ =\ e^x\">\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \ \\r\"> </SPAN>\n" );
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