document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1161122>Question 1161122</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Determine the domain and range of the function Y=-4cos3/2(x-1)+3 </SPAN>\n" );
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document.write( "The domain of any sinusoidal function is all real numbers.<br><BR>\n" );
document.write( "The \"3/2\" coefficient on the cosine function changes the period; it has no effect on the range.<br><BR>\n" );
document.write( "The \"x-1\" causes a phase (horizontal) shift; it also has no effect on the range.<br><BR>\n" );
document.write( "The \"-4\" expands the graph vertically, so it does affect the range.<br><BR>\n" );
document.write( "The \"+3\" shifts the graph vertically, so it also affects the range.<br><BR>\n" );
document.write( "The basic cosine function oscillates between -1 and 1.<BR>\n" );
document.write( "The \"-4\" coefficient changes the range to between -4 and 4.<BR>\n" );
document.write( "The \"+3\", since it moves the whole graph up 3, changes the range to between -1 and 7.<br><BR>\n" );
document.write( "ANSWERS:<BR>\n" );
document.write( "Domain: all reals<BR>\n" );
document.write( "Range: [-1,7]<br><BR>\n" );
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