document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1197836>Question 1197836</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 3. {(-9, -8), (-16, 5), (17, 6), (19, 4), (-8, 9), (-10, -10)}\r<BR>\n" );
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document.write( "A. Inverse={(5, 16), (9, 8), (-10, 9),(-8, -9), (4, 19), (-6, 17)} The inverse is a function.<BR>\n" );
document.write( "B. Inverse={(5, -16), (9, -8), (-10, -10),(-8, -9), (4, 19), (6, 17)} The inverse is not a function.<BR>\n" );
document.write( "C. Inverse={(9, 8), (16, -5), (-17, -6), (-19, -4), (8, -9), (10, 10)} The inverse is a function.<BR>\n" );
document.write( "D. Inverse={(9, 8), (16, -5), (-17, -6), (-19, -4), (8, -9), (10, 10)} The inverse is not a function.<BR>\n" );
document.write( "E. Inverse={(5, -16), (9, -8), (-10, -10),(-8, -9), (4, 19), (6, 17)} The inverse is a function.<BR>\n" );
document.write( "F. Inverse={(5, 16), (9, 8), (-10, 9),(-8, -9), (4, 19), (-6, 17)} The inverse is not a function.\r<BR>\n" );
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document.write( "4. {(8, -5), (-4, -14), (16, 12), (-13, 4), (-17, -2), (3, -13)}\r<BR>\n" );
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document.write( "A. Inverse={(-8, 5), (4, 14), (-16, -12), (13, -4), (17, 2), (-3, 13)} The inverse is not a function.<BR>\n" );
document.write( "B. Inverse={(-14, -4), (-13, 3), (4, -13), (12, 16), (-5, 8), (-2, -17)} The inverse is not a function.<BR>\n" );
document.write( "C. Inverse={(-8, 5), (4, 14), (-16, -12), (13, -4), (17, 2), (-3, 13)} The inverse is a function.<BR>\n" );
document.write( "D. Inverse={(-14, -4), (-13, 3), (4, -13), (12, 16), (-5, 8), (-2, -17)} The inverse is a function.<BR>\n" );
document.write( "E. Inverse={(-4, -4), (-13, 3), (4, -13), (14, 16), (5, 8), (-2, -17)} The inverse is a function.<BR>\n" );
document.write( "F. Inverse={(-4, -4), (-13, 3), (4, -13), (14, 16), (5, 8), (-2, -17)} The inverse is not a function. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #831295 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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=831295\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "I'll do problem 3 to get you started.\r<BR>\n" );
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document.write( "Each point in the given set is of the form (x,y)<BR>\n" );
document.write( "We swap the positions of those coordinates to form the inverse. <BR>\n" );
document.write( "Do this for every point.<BR>\n" );
document.write( "Something like (-9,-8) flips to (-8,-9)\r<BR>\n" );
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document.write( "The inverse of<BR>\n" );
document.write( "{(-9, -8), (-16, 5), (17, 6), (19, 4), (-8, 9), (-10, -10)}<BR>\n" );
document.write( "is <BR>\n" );
document.write( "{(-8,-9), (5,-16), (6,17), (4,19), (9,-8), (-10, -10)}<BR>\n" );
document.write( "The order of the points doesn't matter. <BR>\n" );
document.write( "A set with points A,B,C inside has {A,B,C} the same as {B,C,A} for instance.\r<BR>\n" );
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document.write( "Then notice how there aren't any repeated x coordinates in the inverse. We have each x input lead to exactly one y output only. Therefore, the inverse is a function.\r<BR>\n" );
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document.write( "Problem 4 will follow the same outline of steps. Though I won't give away if the inverse is a function or not.<BR>\n" );
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