document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=717728>Question 717728</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need to have a grasp on determining if a function is injective, surjective or bijective.  I understand what the terms mean but need an algabraic means of determination for each with, perhaps if it is not asking too much, an explanitory deally alongside them.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #440472 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=440472\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I need to have a grasp on determining if a function is<BR>\n" );
document.write( "------- <BR>\n" );
document.write( "injective: each domain value is mapped to an element in the image<BR>\n" );
document.write( "space; but 1 or more of the image space values is not mapped to<BR>\n" );
document.write( "(1,a),(2,b),(3,4) defined on A===>B<BR>\n" );
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document.write( "surjective: at least one element of the domain is mapped to more<BR>\n" );
document.write( "than one element of the image space<BR>\n" );
document.write( "(1,a)(2,a)(3,b)(4,c) defined on A===>B<BR>\n" );
document.write( "------------------------------- <BR>\n" );
document.write( "bijective: each domain value is mapped to an element in the image<BR>\n" );
document.write( "space and each element of the image space is mapped to.<BR>\n" );
document.write( "(1,a)(2,b)(3,c)(4,d) defined on A===>B\r<BR>\n" );
document.write( "\n" );
document.write( "-------<BR>\n" );
document.write( "Domain: A: {1,2,3,4} <BR>\n" );
document.write( "Image space: B: {a,b,c,d]<BR>\n" );
document.write( "---------------------------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );