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QUESTION
Consider the function f(x) = x^3 if x 0 coth x if x 0 on the domain D = (, ), where coth x = cosh(x)/ sinh(x). (a) Give the range of R of f(x)....
coth x if x > 0
on the domain D = (−∞, ∞), where coth x = cosh(x)/ sinh(x).
(a) Give the range of R of f(x). Justify your answer.
(b) By considering each sub-interval separately, construct a hand drawn sketch of y = f(x) in the portion of the xy-plane given by x ∈ (−5, 5) and y ∈ (−5, 5).
