document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=200239>Question 200239</A>: <I><SPAN STYLE=\"word-break: break-all;\"> my question states graph the piecewise function f(x)= 2-x if x greater than or equal to 0 and x^2=x>0. I know you can't show me the graph can you tell me how to do this? My textbook doesn't explain this well at all. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #150550 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=150550\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I think your problem statement is incorrect. As stated, both of the functions given are defined for x>0. If that is the case, then the functions are not piecewise.\r<BR>\n" );
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document.write( "One or the other must be defined when x is  'less than zero'. \r<BR>\n" );
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document.write( "Let's assume the first one is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=+2-x+ ALIGN=MIDDLE  ALT=\"f%28x%29=+2-x+\"   DISABLED_style= \"max-width:90%; height:auto;\" > for x<=0.<BR>\n" );
document.write( "Plot this line for enough values of x to allow you to draw it. Since this is a line, you only need 2 points. Pick x=0 and x=-1 (note that both value chosen for x are <=0). <BR>\n" );
document.write( "When x=0, f(x) = 2-0 = 2. So one point is (0,2)<BR>\n" );
document.write( "When x = -1, f(x) = 2 - (-1) = 3, So another point is (-1,3).<BR>\n" );
document.write( "Plot those two points and draw the ray (not the entire line) that starts at (0,2) and goes up to the left through (-1,3).\r<BR>\n" );
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document.write( "Now do the next 'piece' of the plot.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=+x%5E2 ALIGN=MIDDLE  ALT=\"f%28x%29=+x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > x>0<BR>\n" );
document.write( "This is a parabola, so you will need to plot a few more points in order to approximate the drawring.<BR>\n" );
document.write( "Pick values if x > 0, so let's use x=1, x=2.  We will also want to see what happens when x is 'very close to zero' (we will fudge and use 0).<BR>\n" );
document.write( "When x=0 , x^2 = 0. So point is (0,0)<BR>\n" );
document.write( "When x = 1, x^2 = 1. Another point is (1,1)<BR>\n" );
document.write( "When x=2, x^2 = 4. Another point is (2,4)<BR>\n" );
document.write( "Maybe one more point , x=3 will help<BR>\n" );
document.write( "When x=3, x^2=9. So (3,9)\r<BR>\n" );
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document.write( "Now plot those points and draw the curve (U shaped) that connects them. Only draw in the curve for values of x>0.\r<BR>\n" );
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document.write( "Now you have both 'pieces drawn. You can see that each value of x has one and only one value for y. The plot 'jumps' at x=0. So the plot is not smooth.<BR>\n" );
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