Graph each "piece" of the function separately, on the given domain.
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.
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.
yes to tell a function u do the vertical line test, making sure you can only hit the graph once, anywhere on the graph run ur finger down parallel to the y axis
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]
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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.