document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=153957>Question 153957</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0132191415/algebrahomeworkh>college algebra Blitzer</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Could someone please show me how to do this problem,<BR>\n" );
document.write( "Graph the following function f(x)=(-1/3)x+2<BR>\n" );
document.write( "There are no parentheses around the -1/3\r<BR>\n" );
document.write( "\n" );
document.write( "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 #113334 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=113334\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I'm confused. <BR>\n" );
document.write( "You say there are no parentheses around -1/3 but you show them.<BR>\n" );
document.write( "Is it <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-%281%2F3%29x%2B2 ALIGN=MIDDLE  ALT=\"y=-%281%2F3%29x%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "or<BR>\n" );
document.write( "is it<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-1%2F%283x%29%2B2 ALIGN=MIDDLE  ALT=\"y=-1%2F%283x%29%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "I'll graph them both and you can choose the one you need. <BR>\n" );
document.write( "Let's start with<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-%281%2F3%29x%2B2 ALIGN=MIDDLE  ALT=\"y=-%281%2F3%29x%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "To graph, pick a range of x that you want.<BR>\n" );
document.write( "I'll let x vary from -3 to 3 in steps of 1 and calculate y values.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%28-3%29=-%281%2F3%29%28-3%29%2B2=3 ALIGN=MIDDLE  ALT=\"y%28-3%29=-%281%2F3%29%28-3%29%2B2=3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%28-2%29=-%281%2F3%29%28-2%29%2B2=8%2F3 ALIGN=MIDDLE  ALT=\"y%28-2%29=-%281%2F3%29%28-2%29%2B2=8%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%28-1%29=-%281%2F3%29%28-1%29%2B2=7%2F3 ALIGN=MIDDLE  ALT=\"y%28-1%29=-%281%2F3%29%28-1%29%2B2=7%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%280%29=-%281%2F3%29%280%29%2B2=2 ALIGN=MIDDLE  ALT=\"y%280%29=-%281%2F3%29%280%29%2B2=2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%281%29=-%281%2F3%29%281%29%2B2=5%2F3 ALIGN=MIDDLE  ALT=\"y%281%29=-%281%2F3%29%281%29%2B2=5%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%282%29=-%281%2F3%29%282%29%2B2=4%2F3 ALIGN=MIDDLE  ALT=\"y%282%29=-%281%2F3%29%282%29%2B2=4%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%283%29=-%281%2F3%29%283%29%2B2=1 ALIGN=MIDDLE  ALT=\"y%283%29=-%281%2F3%29%283%29%2B2=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Now plot the x,y pairs.\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28+300%2C+300%2C+-4%2C+4%2C+-4%2C+4%2Cgrid%28+1+%29%2C%0D%0Acircle%28+-3%2C+3%2C+.1+%29%2C%0D%0Acircle%28+-2%2C+8%2F3%2C+.1+%29%2C%0D%0Acircle%28+-1%2C+7%2F3%2C+.1+%29%2C%0D%0Acircle%28+0%2C+2%2C+.1+%29%2C%0D%0Acircle%28+1%2C+5%2F3%2C+.1+%29%2C%0D%0Acircle%28+2%2C+4%2F3%2C+.1+%29%2C%0D%0Acircle%28+3%2C+1%2C+.1+%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".\r<BR>\n" );
document.write( "\n" );
document.write( "Then connect the points with a straight line. <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28+300%2C+300%2C+-4%2C+4%2C+-4%2C+4%2Cgrid%28+1+%29%2Ccircle%28+-3%2C+3%2C+.1+%29%2C%0D%0Agreen%28line%28-6%2C4%2C6%2C0%29%29%2C%0D%0Acircle%28+-2%2C+8%2F3%2C+.1+%29%2C%0D%0Acircle%28+-1%2C+7%2F3%2C+.1+%29%2C%0D%0Acircle%28+0%2C+2%2C+.1+%29%2C%0D%0Acircle%28+1%2C+5%2F3%2C+.1+%29%2C%0D%0Acircle%28+2%2C+4%2F3%2C+.1+%29%2C%0D%0Acircle%28+3%2C+1%2C+.1+%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Next, it's the same procedure, just a different function.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%28-3%29=-1%2F%283%28-3%29%29%2B2=19%2F9 ALIGN=MIDDLE  ALT=\"y%28-3%29=-1%2F%283%28-3%29%29%2B2=19%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%28-2%29=-1%2F%283%28-2%29%29%2B2=13%2F6 ALIGN=MIDDLE  ALT=\"y%28-2%29=-1%2F%283%28-2%29%29%2B2=13%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%28-1%29=-1%2F%283%28-1%29%29%2B2=7%2F3 ALIGN=MIDDLE  ALT=\"y%28-1%29=-1%2F%283%28-1%29%29%2B2=7%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%280%29=-1%2F%280%29%2B2 ALIGN=MIDDLE  ALT=\"y%280%29=-1%2F%280%29%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" > This value is undefined<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%281%29=-1%2F%283%281%29%29%2B2=5%2F3 ALIGN=MIDDLE  ALT=\"y%281%29=-1%2F%283%281%29%29%2B2=5%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%282%29=-1%2F%283%282%29%29%2B2=11%2F6 ALIGN=MIDDLE  ALT=\"y%282%29=-1%2F%283%282%29%29%2B2=11%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%283%29=-1%2F%283%283%29%29%2B2=17%2F9 ALIGN=MIDDLE  ALT=\"y%283%29=-1%2F%283%283%29%29%2B2=17%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28+300%2C+300%2C+-4%2C+4%2C+-4%2C+4%2Cgrid%28+1+%29%2C%0D%0Acircle%28+-3%2C+19%2F9%2C+.1+%29%2C%0D%0Acircle%28+-2%2C+13%2F6%2C+.1+%29%2C%0D%0Acircle%28+-1%2C+7%2F3%2C+.1+%29%2C%0D%0A%0D%0Acircle%28+1%2C+5%2F3%2C+.1+%29%2C%0D%0Acircle%28+2%2C+11%2F6%2C+.1+%29%2C%0D%0Acircle%28+3%2C+17%2F9%2C+.1+%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "The function is not linear and goes off to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=infinity ALIGN=MIDDLE  ALT=\"infinity\"   DISABLED_style= \"max-width:90%; height:auto;\" > as x approaches 0 from the left and goes off to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-infinity ALIGN=MIDDLE  ALT=\"-infinity\"   DISABLED_style= \"max-width:90%; height:auto;\" > as x approaches 0 from the right. <BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28+300%2C+300%2C+-4%2C+4%2C+-4%2C+4%2Cgrid%28+1+%29%2C%0D%0Acircle%28+-3%2C+19%2F9%2C+.1+%29%2C%0D%0Acircle%28+-2%2C+13%2F6%2C+.1+%29%2C%0D%0Acircle%28+-1%2C+7%2F3%2C+.1+%29%2C%0D%0A%0D%0Acircle%28+1%2C+5%2F3%2C+.1+%29%2C%0D%0Acircle%28+2%2C+11%2F6%2C+.1+%29%2C%0D%0Acircle%28+3%2C+17%2F9%2C+.1+%29%2C+graph%28+300%2C+300%2C+-4%2C+4%2C+-4%2C+4%2C+-1%2F%283x%29%2B2%29%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "To get better definition of the function, you would use more points. I shortcutted(cheated) and used the graphing software.  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );