document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1164874>Question 1164874</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The values of two functions, f and g, are given in a table. One, both, or neither of them may be exponential. Give the exponential models for those that are. HINT [See Example 1.] (If an answer does not exist, enter DNE.)<BR>\n" );
document.write( "x	−2	−1	0	1	2<BR>\n" );
document.write( "f(x)	1.125	2.25	4.5	9	18<BR>\n" );
document.write( "g(x)	12<BR>\n" );
document.write( "	6	3	1.5	0.75<BR>\n" );
document.write( "f(x)	 = 	<BR>\n" );
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document.write( "g(x)	 = 	<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #789302 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=789302\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The first is exponential with f(x)=4.5*2^x\r<BR>\n" );
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document.write( "look at when x=0. Then a must be 4.5<BR>\n" );
document.write( "9 is 4.5 *2 and 18 is 4.5*4 and (1/2) and (1/4) for the negative values of x\r<BR>\n" );
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document.write( "for the second, ab^x=3 when x=0 so a=3<BR>\n" );
document.write( "when x=1 3b^1=1.5 so b=(1/2)<BR>\n" );
document.write( "when x=-1 3b^1=3*2 or 6, flipping the fraction with a negative exponent (1/2)^-1 is 2<BR>\n" );
document.write( "it is exponential and 3*0.5^x=f(x) </SPAN>\n" );
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