document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=895200>Question 895200</A>: <I><SPAN STYLE=\"word-break: break-all;\"> hi i was wondering how i am supposed to graph the following function: f(x)=-1/3(x)+2 on domain [-2,8]. thank you. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #542713 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=542713\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Graph the line y = (-1/3)x + 2 on the xy axis like so\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+drawing%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C%0D%0Agrid%281%29%2C%0D%0Agraph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C+0%2C+%28-1%2F3%29x+%2B+2%29%0D%0A%0D%0A%29+%0D%0A ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "This line goes through (0,2) and (3,1). To get any point on this line, plug in a specific x value (like x = 0) into y = (-1/3)x + 2 and compute it to get the corresponding y value.\r<BR>\n" );
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document.write( "That's the entire graph shown above. We just want it graphed on the domain [-2,8]. So what we do is erase the portion to the left of -2 and to the right of 8\r<BR>\n" );
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document.write( "Basically we only graph if x is between -2 and 8 (inclusive to both endpoints)\r<BR>\n" );
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document.write( "Doing so gives us this final answer\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+drawing%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C%0D%0Agrid%281%29%2C%0D%0Agraph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C+0%29%2C%0D%0Ablue%28line%28-2%2C8%2F3%2C8%2C-2%2F3%29%29%2C%0D%0Ared%28circle%28-2%2C8%2F3%2C0.2%29%29%2C%0D%0Ared%28circle%28-2%2C8%2F3%2C0.15%29%29%2C%0D%0Ared%28circle%28-2%2C8%2F3%2C0.1%29%29%2C%0D%0Ared%28circle%288%2C-2%2F3%2C0.2%29%29%2C%0D%0Ared%28circle%288%2C-2%2F3%2C0.15%29%29%2C%0D%0Ared%28circle%288%2C-2%2F3%2C0.1%29%29%0D%0A%0D%0A%29+%0D%0A ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Notice how the red endpoints are at x = -2 and x = 8. These endpoints are closed circles to signify that we are including the endpoints. </SPAN>\n" );
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