document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=942994>Question 942994</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose f is the function whose domain is the interval [&#8722;2, 2], with f defined by the following formula:\r<BR>\n" );
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document.write( "f (x) = -x/3, if&#8722;2&#8804;x<0<BR>\n" );
document.write( "        2x  , if 0&#8804;x&#8804;2.\r<BR>\n" );
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document.write( "(a) Sketch the graph of f .<BR>\n" );
document.write( "(b) Explain why the graph of f shows that f is not<BR>\n" );
document.write( "a one-to-one function.<BR>\n" );
document.write( "(c) Give an explicit example of two distinct numbers<BR>\n" );
document.write( "a and b such that f (a) = f (b). </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #574922 by </B><A HREF=/tutors/aboutme.mpl?userid=richard1234><B>richard1234(7193)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richard1234><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=richard1234><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=574922\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a) Not sure how to graph here, but it's not hard to graph on paper. Just graph y = -x/3 but only where x is in [-2,0) and y = 2x where x is in [0,2].\r<BR>\n" );
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document.write( "b) You can draw a horizontal line that intersects the graph of f(x) in two places.\r<BR>\n" );
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document.write( "c) For example, if a = -1 and b = 1/6, then f(a) = f(-1) = -(-1)/3 = 1/3 and f(b) = f(1/6) = 2*1/6 = 1/3. </SPAN>\n" );
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