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 = e^x + e^-x / 2.   a. Determine its end behavior by evlauating the limit of cosh x from x from positive inifinity and the limit of cosh x from x from negative inifnity. b. Evaluate cosh 0. cosh 0 =  Use symmetry and part (a) to sketch a plausible graph for y = cosh x.

Question

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 = e^x + e^-x / 2.

 

a. Determine its end behavior by evlauating the limit of cosh x from x from positive inifinity and the limit of cosh x from x from negative inifnity.

b. Evaluate cosh 0.

cosh 0 = 

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

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