The hyperbolic cosine function is defined by cosh(x)=(e^x+e^-x)/(2) (a) Sketch the graphs of the functions y=(1)/(2) e^x and y=(1)/(2) e^-x on the same axes, and use graphical addition (see Section 3.6) to sketch the graph of y=cosh(x) . (b) Use the definition to show that cosh(-x)=cosh(x) | Numerade

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 coshx=(e^x+e^-x)/(2). a. Determine its end behavior by evaluating lim cosh x and lim cosh x. b. Evaluate cosh 0 . Use symmetry and part (a) to sketch a plausible graph for y=coshx. | Numerade

The hyperbolic cosine function, denoted cosh(x)\cosh\left(x\right... | Study Prep in Pearson