document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=999461>Question 999461</A>: <I><SPAN STYLE=\"word-break: break-all;\"> ok, so i'm in algebra one, and i have a test tommorow on our unit. one thing I don't get is domain and range. it shows an oval, and three numbers inside. i get the first and last one, but not the middle one. I don't know how to make a piecewise function with the {{}} thing so i'll put it as 2 layers. the piecewise function that i need help on is:<BR>\n" );
document.write( "f(x)=3x+11  -5<=x<=-2<BR>\n" );
document.write( "    -x/2+5  -2<x<=4<BR>\n" );
document.write( "sorry for bad grammar i rushed through this! :) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #617084 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=617084\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> one thing I don't get is domain and range. it shows an oval, and three numbers inside. i get the first and last one, but not the middle one. I don't know how to make a piecewise function with the {{}} thing so i'll put it as 2 layers. the piecewise function that i need help on is:<BR>\n" );
document.write( "f(x) = 3x+11  when -5<=x<=-2<BR>\n" );
document.write( "f(x) =-x/2+5  when -2 < x <=4<BR>\n" );
document.write( "--------<BR>\n" );
document.write( "Domain<BR>\n" );
document.write( "This says the Domain (values of x) is \"All Real numbers greater<BR>\n" );
document.write( "than or equal to -5 and less than of equal to 4\".<BR>\n" );
document.write( "------<BR>\n" );
document.write( "Range<BR>\n" );
document.write( "The range is the set of values \"y\" takes when the domain values are applied.<BR>\n" );
document.write( "----<BR>\n" );
document.write( "y = 3x+11 has values between f(-5) and f(-2)<BR>\n" );
document.write( "f(-5) = (3(-5)+11) = -4<BR>\n" );
document.write( "f(-2) = (3(-2)+11) = 5<BR>\n" );
document.write( "--------<BR>\n" );
document.write( "y = (-1/2)x+5 has values from f(2) and f(4)<BR>\n" );
document.write( "f(2) = (-1/2)(2)+5 = 4<BR>\n" );
document.write( "f(4) = (-1/2)(4)+5 = 3<BR>\n" );
document.write( "--------<BR>\n" );
document.write( "So, what is the range?<BR>\n" );
document.write( "The lowest value is f(-5) = -4<BR>\n" );
document.write( "The highest value is f(-2) = 5<BR>\n" );
document.write( "----<BR>\n" );
document.write( "So, the Range is \"All Real Numbers from -4 to 5\".<BR>\n" );
document.write( "------<BR>\n" );
document.write( "You will see the Domain and the Range if you graph<BR>\n" );
document.write( "each of the pieces of the function on its own Domain.<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "---------------  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );