document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=51949>Question 51949</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1)	Is sqrt(x^2=x)an identity (true for all values of x)?<BR>\n" );
document.write( "Explain.\r<BR>\n" );
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document.write( "2)<BR>\n" );
document.write( "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( "Graph 	\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	\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #34653 by </B><A HREF=/tutors/aboutme.mpl?userid=Nate><B>Nate(3500)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Nate><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=34653\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1) This is not true for all the values for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "sqrt(x^2) = | x |<BR>\n" );
document.write( "x = -2<BR>\n" );
document.write( "sqrt( (-2)^2 ) = sqrt( 4 ) = 2<BR>\n" );
document.write( "2 does not equal -2<BR>\n" );
document.write( "2) You have two points: (0,1) and (2,4)<BR>\n" );
document.write( "y = a(b^x)<BR>\n" );
document.write( "plug:<BR>\n" );
document.write( "1 = a(b^0)<BR>\n" );
document.write( "1 = a<BR>\n" );
document.write( "plug:<BR>\n" );
document.write( "y = b^x<BR>\n" );
document.write( "4 = b^2<BR>\n" );
document.write( "2 = b<BR>\n" );
document.write( "final:<BR>\n" );
document.write( "y = 2^x<BR>\n" );
document.write( "It is exponential because the values increase on an exponential level when <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > increases and the values approach zero when you decrease <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Domain: { x | all reals }<BR>\n" );
document.write( "Range: { y | <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+%3E+0 ALIGN=MIDDLE  ALT=\"y+%3E+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > }<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C300%2C-5%2C5%2C-5%2C5%2C2%5Ex%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C300%2C-5%2C5%2C-5%2C5%2C2%5Ex%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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