piecewise
Graph each "piece" of the function separately, on the given domain.
yes, every continuous function is integrable.
Yes, a corner is continuous, as long as you don't have to lift your pencil up then it is a continuous function. Continuous functions just have no breaks, gaps, or holes.
They are both continuous, symmetric distribution functions.
All differentiable functions need be continuous at least.
f is a piecewise smooth funtion on [a,b] if f and f ' are piecewise continuous on [a,b]
Assuming you mean "derivative", I believe it really depends on the function. In the general case, there is no guarantee that the first derivative is piecewise continuous, or that it is even defined.
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.
piecewise
The form of the piecewise functions can be arbitrarily complex, but higher degrees of specification require considerably more user input.
gwsgfsgsfggfsfg
A piecewise defined function is a function which is defined symbolically using two or more formulas
Gegham Gevorkyan has written: 'On general Franklin systems' -- subject(s): Continuous Functions, Linear Algebras, Partitions (Mathematics), Piecewise linear topology, Sequences (Mathematics), Transformations (Mathematics)
Graph each "piece" of the function separately, on the given domain.
The numerator function x2 - 4 and the denominator function x2 + 3x + 2 are both continuous functions of x for the entire x-axis. However, the quotient of these two functions is not continuous when the denominator function has the value of 0, because division by zero is not defined. The denominator function is 0 when x = -1 or -2. Therefore, the quotient function is not fully continuous over any intervals that include -1 or -2, but it is "piecewise continuous" over other intervals of the x-axis.
Piecewise, linear, exponential, quadratic, Onto, cubic, polynomial and absolute value.