for a piecewise function, the domain is broken into pieces, with a different rule defining the function for each piece
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.
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.
That's easy. Take any function that is defined on R except 0, then shift it 4.1 units to the right. To do a shift operation of a units, it is simply taking f(x - a) instead of f(x) So in this case, take f(x) = 1/x, a is 4.1 f(x - 4.1) = 1/ (x - 4.1) is exactly what you want. Also, there are other piecewise functions: f(x) = 1 if x < 4.1 and 0 if x > 4.1 not defined when x = 4.1
GetA is a math function and not a string function.
The original function's RANGE becomes the inverse function's domain.
piecewise
f is a piecewise smooth funtion on [a,b] if f and f ' are piecewise continuous on [a,b]
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
It could represent a point whose coordinates do satisfy the requirements of the function.
slope 5/6 through (-18,6)
Graph each "piece" of the function separately, on the given domain.
One such function is [ Y = INT(x) ]. (Y is equal to the greatest integer in ' x ')