Q. What is the amplitude ofg(x)=cos(32πx)+1?units
Question Prompt: The question_prompt: What is the amplitude of the function g(x)=cos(32πx)+1?
Identifying Amplitude: The amplitude of a trigonometric function like cosine or sine is the coefficient in front of the cosine or sine term. In the function g(x)=cos(32πx)+1, the coefficient in front of the cosine term is 1.
Determining Coefficient: Since there is no coefficient other than 1 in front of the cosine term, the amplitude of the function is 1. The "+1" outside of the cosine function shifts the graph vertically but does not affect the amplitude.
Final Amplitude: Therefore, the amplitude of the function g(x)=cos(32πx)+1 is 1 unit.
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