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
All differentiable functions need be continuous at least.
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.
It could represent a point whose coordinates do satisfy the requirements of the function.
A piecewise function is a function defined by different expressions or formulas for different intervals or segments of its domain. Each segment is typically specified for a certain condition or range of input values. This allows the function to have distinct behaviors or values depending on the input. For example, a piecewise function might define one formula for ( x < 0 ) and another for ( x \geq 0 ).
piecewise
A piecewise function can be one-to-one, but it is not guaranteed to be. A function is considered one-to-one if each element in the domain maps to a unique element in the range. In the case of a piecewise function, it depends on the specific segments and how they are defined. If each segment of the piecewise function passes the horizontal line test, then the function is one-to-one.
A piecewise defined function is a function which is defined symbolically using two or more formulas
All differentiable functions need be continuous at least.
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.
yes :D
Piecewise <3
for a piecewise function, the domain is broken into pieces, with a different rule defining the function for each piece
It could represent a point whose coordinates do satisfy the requirements of the function.
Graph each "piece" of the function separately, on the given domain.
slope 5/6 through (-18,6)
J. H. Rieger has written: 'On the classification of news of piecewise smooth objects'