piecewise
A line which is the reflection of the original in y = x.
The graph of a quadratic equation is a parabola.
The zero of a f (function) is an x-value that corresponds to where the y-value is zero on the functions graph or the x-intercepts. Functions can have multiple zeroes or no real zeroes at all, depending on the equation.
subtract
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.
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A piecewise defined function is a function which is defined symbolically using two or more formulas
All differentiable functions need be continuous at least.
Yes, a piecewise graph can represent a function as long as each piece of the graph passes the vertical line test, meaning that each vertical line intersects the graph at most once. This ensures that each input has exactly one output value.
You can evaluate functions at points. For example, my pay is a function of how many hours I work. At 5 hours I can evaluate the result.
Piecewise, linear, exponential, quadratic, Onto, cubic, polynomial and absolute value.
f is a piecewise smooth funtion on [a,b] if f and f ' are piecewise continuous on [a,b]
One such function is [ Y = INT(x) ]. (Y is equal to the greatest integer in ' x ')
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.