Question: (a) Find tanh 0.
(b) For what values of x is tanh x positive? Negative? Explain your answer algebraically.
(c) On what intervals istanh x increasing? Decreasing? Use derivatives to explain your answer.
(d) Find limx→∞ tanh x and limx→-∞ tanh x. Show this information on a graph.
(e) Does tanh x have an inverse? Justify your answer using derivatives.