Question: Considerthefunction f(x) = tan(sin x). (a) Use a graphing utility to graph the function. (b) Identify any symmetry of the graph. (c) Is the function

Consider the function f(x) = tan(sin πx).

(a) Use a graphing utility to graph the function.

(b) Identify any symmetry of the graph.

(c) Is the function periodic? If so, what is the period?

(d) Identify any extrema on (−1, 1).

(e) Use a graphing utility to determine the concavity of the graph on (0, 1).

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