Question: Will a one-to-one function always be a decreasing or increasing function? Are there functions that are their own inverse? (a) Do even continuous functions have

Will a one-to-one function always be a decreasing or increasing function? Are there functions that are their own inverse?

(a) Do even continuous functions have an inverse? (b) Odd functions? Using the results of the previous exercise, determine how the concavity of g is related to the concavity of f. Hint: there are four cases to consider

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