document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1142376>Question 1142376</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Consider the function defined by f = {(x, y) : x ∈ R, y = 1/3(x + 2)^2 + 5}.\r<BR>\n" );
document.write( "\n" );
document.write( "Which of the following statements is/are correct?\r<BR>\n" );
document.write( "\n" );
document.write( "A. The graph of f does not cut the x  -  axis.<BR>\n" );
document.write( "B. y ≥ 0 for all x ∈ Df .<BR>\n" );
document.write( "C. The y  -  intercept of the graph of f is 5.\r<BR>\n" );
document.write( "\n" );
document.write( "1. Only A <BR>\n" );
document.write( "2. Only B <BR>\n" );
document.write( "3. Only C<BR>\n" );
document.write( "4. Only A and B <BR>\n" );
document.write( "5. A, B and C </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #763125 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=763125\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "For A and B, note that the (1/3)(x+2)^2 term is always zero or positive.  When you add 5 to a number that is zero or positive, what do you know about the result?<br><BR>\n" );
document.write( "For C, plug in x=0 and see if the statement is true. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );