document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1020689>Question 1020689</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Consider the function f(x) = 1/2 (x + |x| ). Discuss continuity and smoothness for this function. Where is it discontinuous? Where is it not smooth? Also find each of the following quantities: f(3), f(-4), f'(3), f'(-4).  </SPAN>\n" );
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document.write( "it is not discontinuous<BR>\n" );
document.write( "It is not smooth where x=0.  There is a corner.<BR>\n" );
document.write( "f(3)=(1/2)(3+abs(3))=3<BR>\n" );
document.write( "f(-4)=(1/2)(-4+abs(-4))=0 </SPAN>\n" );
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