document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=756195>Question 756195</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the maximum or minimum value of the function. State whether this value is a maximum or minimum. \r<BR>\n" );
document.write( "\n" );
document.write( " f(x)= 5x squared - 11<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #460070 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=460070\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> y = 5x^2 - 11<BR>\n" );
document.write( "put in standard form of a quadratic equation to get:<BR>\n" );
document.write( "5x^2 - 11 = 0<BR>\n" );
document.write( "a = 5<BR>\n" );
document.write( "b = 0<BR>\n" );
document.write( "c = -11<BR>\n" );
document.write( "axis of symmetry is given by the equation:<BR>\n" );
document.write( "x = -b/2a<BR>\n" );
document.write( "with the given values of b and a, this becomes:<BR>\n" );
document.write( "x = 0<BR>\n" );
document.write( "the equation is maximum or minimum at x = 0<BR>\n" );
document.write( "when x = 0, the value of y is equal to -11<BR>\n" );
document.write( "the max/min point is (0,-11)<BR>\n" );
document.write( "this point is a minimum because the coefficient of the x^2 term is positive.<BR>\n" );
document.write( "the graph is shown below:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28600%2C600%2C-10%2C10%2C-20%2C20%2Cx%5E2-11%29 ALIGN=MIDDLE  ALT=\"graph%28600%2C600%2C-10%2C10%2C-20%2C20%2Cx%5E2-11%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );