document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1110177>Question 1110177</A>: <I><SPAN STYLE=\"word-break: break-all;\"> True or false: y=3x-2sin&#8289;2x oscillates between the parallel lines y=3x-4 and y=3x+4<BR>\n" );
document.write( "I know the maximum value a sine function can have is one, so<BR>\n" );
document.write( "y=3x-2sin&#8289;2x is really y=3x-2(1), which is y=3x-2, which makes the statement false.<BR>\n" );
document.write( "However, the amplitude in this case is 2, so:<BR>\n" );
document.write( "y=3x-2sin&#8289;2x is really y=3x-2(2), which is y=3x-4, which makes the statement true. </SPAN>\n" );
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document.write( "No.<br><BR>\n" );
document.write( "sin(x), sin(2x), and sin(kx) (for any value of k) all have maximum and minimum values of 1 and -1.<br><BR>\n" );
document.write( "Specifically, it is NOT true that sin(2x) has an amplitude of 2.<br><BR>\n" );
document.write( "Since sin(2x) has an amplitude of 1, 2sin(2x) has an amplitude of 2; so 3x-2sin(2x) oscillates between 3x-2 and 3x+2.<br><BR>\n" );
document.write( "So the statement that it oscillates between 3x-4 and 3x+4 is false. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );