document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=151838>Question 151838</A>: <I><SPAN STYLE=\"word-break: break-all;\"> f (x) = x2 &#8722; 4x +3<BR>\n" );
document.write( "a)Find the domain and range of the function.<BR>\n" );
document.write( "b)Determine if it is odd, even or neither?Justify Your answer<BR>\n" );
document.write( "c)Skecth the graph </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #111625 by </B><A HREF=/tutors/aboutme.mpl?userid=nabla><B>nabla(475)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nabla><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=111625\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a)Domain means what values of x can the function take on. Can you see any that it can't? I don't--- must be all real numbers.<BR>\n" );
document.write( "Range means what values of y can the function take on. For this we shall determine the vertex by x=-b/(2a). x=2 gives the minimum of this function. So all y values are greater than or equal to f(2)=4-8+3=-1.\r<BR>\n" );
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document.write( "b)A function is even if f(x)=f(-x).<BR>\n" );
document.write( "Check it out.<BR>\n" );
document.write( "f(x)=x^2-4x+3<BR>\n" );
document.write( "f(-x)=x^2+4x+3   <BR>\n" );
document.write( "thus f(x) does not= f(-x) so it is not even.<BR>\n" );
document.write( "A function is odd if f(-x)=-f(x)<BR>\n" );
document.write( "So,<BR>\n" );
document.write( "-f(x)=-x^2+4x-3<BR>\n" );
document.write( "and f(-x) does not equal -f(x), so the function is neither odd nor even.\r<BR>\n" );
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document.write( "c) See below:<BR>\n" );
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