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for a piecewise function, the domain is broken into pieces, with a different rule defining the function for each piece
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∙ 12y ago
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Is a piecewise function one to one?
It can be.
What is X2-4 divided by x2 plus 3x plus 2 continuous or discontinuous?
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.
Which function has a domain of all real numbers except x equals 4.1?
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 or string function?
GetA is a math function and not a string function.
If an inverse function undoes the work of the original function the original function's becomes the inverse function's domain?
The original function's RANGE becomes the inverse function's domain.
The greatest integer function and absolute value function are both examples of functions that can be defined?
piecewise
What is piecewise smooth function?
f is a piecewise smooth funtion on [a,b] if f and f ' are piecewise continuous on [a,b]
Is a piecewise function one to one?
It can be.
Describe the defining characteristics of piecewise functions?
A piecewise defined function is a function which is defined symbolically using two or more formulas
When finding the derivative of a point on a piecewise function does every function in the piecewise function need to be continuous and approach the same limit?
All differentiable functions need be continuous at least.
How are piecewise functions related to step functions and absolute value functions?
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.
Do you connect points for a piecewise function?
yes :D
Which function is used to model overtime pay?
Piecewise <3
What does a solid dot mean on a piecewise function represent?
It could represent a point whose coordinates do satisfy the requirements of the function.
Write a equation for piecewise function?
slope 5/6 through (-18,6)
How do you graph and evaluate piecewise functions?
Graph each "piece" of the function separately, on the given domain.
What is a piecewise function whose graph resembles a set of stair steps?
One such function is [ Y = INT(x) ]. (Y is equal to the greatest integer in ' x ')
