Write short answers Consider the inverse tangent function defined by y tan x or y...

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Algebra

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Write short answers Consider the inverse tangent function defined by y tan x or y arctan x Complete parts a d a What is its domain 0 00 Type your answer in interval notation Simplify your answer Type an exact answer using as needed Use integers or fractions for any numbers in the expression b What is its range T 2 2 Type your answer in interval notation Simplify your answer Type an exact answer using as needed Use integers or fractions for any numbers in the expression c Is this function increasing or decreasing CLE increasing decreasing d Is there any real number x for which arctan x is not defined If so what is it or what are they Yes No Use a comma to separate answers as needed

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