document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=138619>Question 138619</A>: <I><SPAN STYLE=\"word-break: break-all;\"> write out an equation for f(x).<BR>\n" );
document.write( "x	-2	-1	0	1	2<BR>\n" );
document.write( "f(x)	-5	-2	1	4	7\r<BR>\n" );
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document.write( "I am deployed to Iraq, and all of our class is via the internet,this question has me stumped, can you plesae assist me?<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 #101164 by </B><A HREF=/tutors/aboutme.mpl?userid=vleith><B>vleith(2983)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=vleith><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=101164\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The way I like to approach these problems is analyze the two sequences of numbers.\r<BR>\n" );
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document.write( "Sequence of x -2, -1, 0, 1, 2<BR>\n" );
document.write( "In this sequence, each successive value of x, moving to the right, is 1 greater than the previous value.\r<BR>\n" );
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document.write( "Sequence of y -5, -2, 1, 4, 7<BR>\n" );
document.write( "In the y sequence, each successive value of y, moving to the right, is 3 greater than the previous value.\r<BR>\n" );
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document.write( "From that information, we can see that an increase of x by 1 creates an increase in y by 3.\r<BR>\n" );
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document.write( "Let's guess y = 3x. Now, test your guess. If x = 0, then y would be 0. Wait, the sequences given as the problem state that when x is 0, then y is 1. \r<BR>\n" );
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document.write( "Let's adjust our guess to be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+3x+%2B+1 ALIGN=MIDDLE  ALT=\"y+=+3x+%2B+1\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Now test it again. We know it works for x = 0. Let's try x = 2. When x=2, then y = 3*2 + 1 = 7. Test some others as well.\r<BR>\n" );
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document.write( "So what does our equation tell us?<BR>\n" );
document.write( "It tells us that the two sequences are related. They form a line. The line has a slope of 3 and crosses the y axis as the point (0,1)\r<BR>\n" );
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