Design a piecewise-defined function f(x), one piece defined for x<2 and the other piece defined for x2, satisfying the following criteria. Using the first letter of your first name, design a function of the type for that letter (listed below) for the region x<2. Using the first letter of your last name, design a function of the type for that letter (listed below) for the region x2.

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H: exponential function, but not the natural exponential function

M: trigonometric function