Sketch the graph of f(x) = sin(x) + cos(x). What is the amplitude of this function?
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Answers, problem 2
We know that the amplitude of this function will be greater than 1 but less than 2. 0 is less than 1, (21/2)/2 is less than 1, and 2(21/2) is greater than 2. Therefore the answer must be 4: 21/2.