The hyperbolic cosine function, denoted cosh x, is used to model the shape of a hanging cable

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The hyperbolic cosine function, denoted cosh x, is used to model the shape of a hanging cable (a telephone wire, for example). It is defined as cosh x = ex + e-x/2.

a. Determine its end behavior by analyzing lim cosh x х and lim cosh x.  

b. Evaluate cosh 0. Use symmetry and part (a) to sketch a plausible graph for y = cosh x.

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Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

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