sadly yes he is real SO WATEVER YOU DO NEVER GO NEXT TO THE SEWER i went one time and i herd a voice thats said come in but then i herd kids screming HELP!!!
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f is a piecewise smooth funtion on [a,b] if f and f ' are piecewise continuous on [a,b]
A piecewise defined function is a function which is defined symbolically using two or more formulas
A piecewise function is a function defined by two or more equations. A step functions is a piecewise function defined by a constant value over each part of its domain. You can write absolute value functions and step functions as piecewise functions so they're easier to graph.
The form of the piecewise functions can be arbitrarily complex, but higher degrees of specification require considerably more user input.
All differentiable functions need be continuous at least.