document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=24271>Question 24271</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Decide whether each relation is a function. Explain.\r<BR>\n" );
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document.write( "Y=x^4 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #12905 by </B><A HREF=/tutors/aboutme.mpl?userid=venugopalramana><B>venugopalramana(3286)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=venugopalramana><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.geocities.com/venugopalramana/FREE_MATHS_ASSISTANCE.html valign=middle><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=12905\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Y=X^4<BR>\n" );
document.write( "LET US CONSIDER THIS IN OUR FIELD OF REAL NUMBERS.<BR>\n" );
document.write( "TWO CONITIONS ARE TO BE SATISFIED FOR THIS RELATION TO BE AFUNCTION<BR>\n" );
document.write( "1.FOR ALL X IN REAL NUMBERS ,THERE SHOULD BE A VALUE OF Y IN REAL NUMBERS.....THIS IS SATISFIED.<BR>\n" );
document.write( "2.SAME VALUE OF X SHOULD NOT GIVE RAISE TO MORE THAN ONE VALUE OF Y ...THIS IS ALSO TRUE.<BR>\n" );
document.write( "HENCE THIS IS A FUNCTION.<BR>\n" );
document.write( "NOTE.....WE CAN HAVE SAME Y VALUE FOR MORE THAN ONE X VALUE AS IS THE CASE HERE.X=+1 GIVES Y=+1...AND X=-1 ALSO GIVES Y=+1..THIS IS OK.BUT THE OTHER WAY ROUND IS NOT ALLOWED FOR THE RELATION TO BE A FUNCTION.FOR EXAMPLE Y=SQRT.OF X IS NOT A FUNCTION SINCE X=+1 CAN GIVE RAISE TO 2 DIFFERENT VALUES OF Y NAMELY +1 AND -1.HENCE THIS IS NOT A FUNCTION. </SPAN>\n" );
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