What are the characteristics of cosine function f(x) = cos(x)? Is the maximum value of the function 1 or -1? Does the graph of f(x) have any x-intercepts? Are there any vertical asymptotes? Are there any horizontal asymptotes? How is the period of the function determined? Is f(x) an even or odd function? Is the range of the function [-1, 1] or (-β, β)?
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