document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=35459>Question 35459</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help. I go to college online and I have to submit this answer by Sat. night.Heres the question:	<BR>\n" );
document.write( "x	-2	-1	0	1	2<BR>\n" );
document.write( "y	.0625	.25	1	4	16\r<BR>\n" );
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document.write( "Given the table above, graph the function, identify the graph of the function (line, parabola, hyperbola, or exponential), explain your choice, and give the domain and range as shown in the graph, and also the domain and range of the entire function.\r<BR>\n" );
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document.write( "Graph Type: \r<BR>\n" );
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document.write( "Explanation: \r<BR>\n" );
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document.write( "Domain: \r<BR>\n" );
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document.write( "Range: <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 #21539 by </B><A HREF=/tutors/aboutme.mpl?userid=rapaljer><B>rapaljer(4671)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rapaljer><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=rapaljer><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=21539\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You should begin by trying to figure out the pattern of numbers in the x and y table.  Notice that the x values are integers, and the y values start with very small decimal numbers and become extremely large very quickly.  This would be an indication that it is an exponential equation.  In fact, notice that all the y numbers are powers of 4, beginning with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%5E-2+=+1%2F16+=+.0625 ALIGN=MIDDLE  ALT=\"4%5E-2+=+1%2F16+=+.0625\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%5E-1=+1%2F4+=+.25 ALIGN=MIDDLE  ALT=\"4%5E-1=+1%2F4+=+.25\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%5E0=1 ALIGN=MIDDLE  ALT=\"4%5E0=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%5E1=4 ALIGN=MIDDLE  ALT=\"4%5E1=4\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%5E2+=+16 ALIGN=MIDDLE  ALT=\"4%5E2+=+16\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  The equation of the graph is therefore <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+4%5Ex+ ALIGN=MIDDLE  ALT=\"y+=+4%5Ex+\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "The graph should look like this:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph+%28300%2C+300%2C+-3%2C+3%2C+-3%2C+20%2C+4%5Ex%29 ALIGN=MIDDLE  ALT=\"+graph+%28300%2C+300%2C+-3%2C+3%2C+-3%2C+20%2C+4%5Ex%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Domain is the set of all x values, which for these specific points would be the set containing just these 5 x-values { -2, -1, 0, 1, 2}, and the range is the set of y values, which would be these 5 y-values:  { .0625, .25, 0, 1, 4, 16}\r<BR>\n" );
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document.write( "When you take the entire graph into account, you should look at the graph, and identify, what values of x and y respectively give you points on the graph.  \r<BR>\n" );
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document.write( "Notice that x could be any value from - infinity to + infinity.  In interval notation that would be Domain = (- inf, inf) or all real numbers.  \r<BR>\n" );
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document.write( "Notice that y never becomes negative, and it cannot equal zero, although it gets very close to zero.  Therefore, the range is (0, inf).\r<BR>\n" );
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document.write( "R^2 at SCC\r<BR>\n" );
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