document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=31139>Question 31139</A>: <I><SPAN STYLE=\"word-break: break-all;\"> x	-2	-1	0	1	2<BR>\n" );
document.write( "y	.25	.5	1	2	4\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( "I am lost, this stuff is going right over my head and I dont know where to begin. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #17860 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=17860\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x ______-2______-1______0_______1_______2<BR>\n" );
document.write( "y ______.25______.5 _____1_______2_______4\r<BR>\n" );
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document.write( "Don't feel bad. It took me a little while, too. I probably tried some <BR>\n" );
document.write( "things you thought of like, is it y = 2x? No, because when x is 0<BR>\n" );
document.write( "how can y = 1? The minus signs really threw me, too.\r<BR>\n" );
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document.write( "Then a dim light flickered. . . exponents, logs, something about negative<BR>\n" );
document.write( "exponents<BR>\n" );
document.write( "So I tried y = 2^x<BR>\n" );
document.write( "bingo!\r<BR>\n" );
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document.write( "x_______-2______-1______0_______1_______2<BR>\n" );
document.write( "2^x_____.25______.5______1_______2_______4\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5E%28-2%29+=+1%2F4 ALIGN=MIDDLE  ALT=\"2%5E%28-2%29+=+1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5E%28-1%29+=+1%2F2 ALIGN=MIDDLE  ALT=\"2%5E%28-1%29+=+1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5E0+=+1 ALIGN=MIDDLE  ALT=\"2%5E0+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5E1+=+2 ALIGN=MIDDLE  ALT=\"2%5E1+=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5E2+=+4 ALIGN=MIDDLE  ALT=\"2%5E2+=+4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Remember, the rule for negative exponents is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E%28-b%29+=+1%2F+a%5Eb ALIGN=MIDDLE  ALT=\"a%5E%28-b%29+=+1%2F+a%5Eb\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This is an exponential equation. y changes exponentially with x<BR>\n" );
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document.write( "OK, I want to graph this thing from (-2, .25) to (2,4)<BR>\n" );
document.write( "(these are the (x,y) points at the ends of the chart<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+200%2C+200%2C+-2%2C+%2B3%2C+-3%2C+6%2C+2%5Ex%29+ ALIGN=MIDDLE  ALT=\"+graph%28+200%2C+200%2C+-2%2C+%2B3%2C+-3%2C+6%2C+2%5Ex%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "the domain of the data given would be it's extent on the x-axis<BR>\n" );
document.write( "That would be -2 to +2<BR>\n" );
document.write( "The range is the extent on the y-axis<BR>\n" );
document.write( "That would be .25 to 4<BR>\n" );
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document.write( "What's the domain and range of the entire function?<BR>\n" );
document.write( "That means how far can x and y possibly go?<BR>\n" );
document.write( "I can make x any number I want, no problem, <BR>\n" );
document.write( "So the domain is minus infinity to plus infinity<BR>\n" );
document.write( "But what happens to y (2^x) when I do this?<BR>\n" );
document.write( "Y goes from a very, very small positive number to infinity<BR>\n" );
document.write( "2^x can never be negative<BR>\n" );
document.write( "So the  range of the entire function is zero to plus infinity </SPAN>\n" );
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