document.write( "Question 860327: Graph each function over two complete cycles. Determine the maximum and minimum values of the function and it's range.\r
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\n" ); document.write( "\n" ); document.write( "a) y = 5 sin x\r
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Algebra.Com's Answer #518320 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "a) y = 5 sin x \r\n" );
document.write( "b) y = 3 cos x \r\n" );
document.write( "c) y = 3 sin x + 4 \r\n" );
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document.write( "y = sin(x) and y = cos(x) has range [-1,1] because\r\n" );
document.write( "their graphs oscillates over and over between 1 and\r\n" );
document.write( "-1.  Their amplitude is 1 because they both go 1 \r\n" );
document.write( "unit above and below the x-axis. \r\n" );
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document.write( "a)  y = 5sin(x) and has range [-5,5] because\r\n" );
document.write( "the graph oscillates over and over between 5 and\r\n" );
document.write( "-5.  Its amplitude is 5 because it goes 5 units above\r\n" );
document.write( "and below the x-axis.\r\n" );
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document.write( "Range: [-5,5]\r\n" );
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document.write( "b) y = 3cos(x) and has range [-3,3] because\r\n" );
document.write( "the graph oscillates over and over between 3 and\r\n" );
document.write( "-3.  Its amplitude is 3 because it goes 3 units above\r\n" );
document.write( "and below the x-axis.\r\n" );
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document.write( "Range: = [-3,3]\r\n" );
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document.write( " c) y = 3sin(x) + 4\r\n" );
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document.write( "If it were y = 3sin(x) it would have range [-3,3] \r\n" );
document.write( "like the preceding problem, but the + 4 on the end jacks the \r\n" );
document.write( "range up 4 units to [-3+4,3+4] or [1,7]  3 units above and \r\n" );
document.write( "below the horizontal line y = 4\r\n" );
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document.write( "Range = [1,7]\r\n" );
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document.write( "Edwin
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