document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=285765>Question 285765</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Evaluate the exponential function for three positive values of x, three negative values of x, and at x=0. Show your work. Use the resulting ordered pairs to plot the graph; submit the graph via the Dropbox. State the domain and the range of the function.\r<BR>\n" );
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document.write( "f(x) = e^x + 5\r<BR>\n" );
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document.write( "Please use the following values for x so I can check my work against yours:\r<BR>\n" );
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document.write( "1<BR>\n" );
document.write( "2<BR>\n" );
document.write( "3<BR>\n" );
document.write( "0<BR>\n" );
document.write( "-1<BR>\n" );
document.write( "-2<BR>\n" );
document.write( "-3\r<BR>\n" );
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document.write( "Please also give the domain and range of the function.\r<BR>\n" );
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document.write( "Thanks a ton! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #207203 by </B><A HREF=/tutors/aboutme.mpl?userid=jsmallt9><B>jsmallt9(3758)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jsmallt9><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=207203\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29+=+e%5Ex+%2B+5 ALIGN=MIDDLE  ALT=\"f%28x%29+=+e%5Ex+%2B+5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "As far as evaluating the function, I'll leave that up to you and your calculator.<br><BR>\n" );
document.write( "*** Additional note: \"e\" is a special number like <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi ALIGN=MIDDLE  ALT=\"pi\"   DISABLED_style= \"max-width:90%; height:auto;\" >. If your calculator does not have a button for \"e\" then use 2.7182818284590451 (or a rounded-off version of this number) for \"e\". Then raise this number to \"x\" power and then add 5. On many calculators you can just type:<BR>\n" );
document.write( "2.718^3+5<BR>\n" );
document.write( "followed by the \"=\" or \"Enter\" key and it will calculate f(3) for you. Then just keep changing the \"3\" to the other values of \"x\" you are supposed to use. (If your calculator does not have a \"^\" key, then use a key that looks like: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5Ey ALIGN=MIDDLE  ALT=\"x%5Ey\"   DISABLED_style= \"max-width:90%; height:auto;\" >)***<br><BR>\n" );
document.write( "The domain is the set of possible values for x. x is an exponent in your function and exponents can be <i>any</i> number. So the domain is all real numbers.<br><BR>\n" );
document.write( "The range is the set of possible values for y or f(x). Since f(x) is the sum 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;\" > and 5, we need to know what values <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 have. e is a positive number and a positive number, raised to <i>any</i> power must be a positive number. It cannot be zero and it cannot be negative. (Remember <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=e%5E0+=+1 ALIGN=MIDDLE  ALT=\"e%5E0+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" > and a negative exponent means a reciprocal (and a reciprocal of any power of e is still positive)).<br><BR>\n" );
document.write( "<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 be any positive number -- from just barely above zero (when x is a large negative number) to extremely large positive numbers. And since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29+=+e%5Ex+%2B+5 ALIGN=MIDDLE  ALT=\"f%28x%29+=+e%5Ex+%2B+5\"   DISABLED_style= \"max-width:90%; height:auto;\" >, f(x) can be any number greater than 5.<br><BR>\n" );
document.write( "Here's a graph for you to check against:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C+400%2C+-5%2C+5%2C+-1%2C+9%2C+e%5Ex+%2B+5%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C+400%2C+-5%2C+5%2C+-1%2C+9%2C+e%5Ex+%2B+5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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