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Signum function

Khan AcademyAshish Gupta

Signum function

What is this mysterious Signum function? How do we plot it? What is its domain and range? Let's find out. We break down the definition of the function given in set-builder form and plot the graph by connecting points on the cartesian plane. Domain and Range is calculated through visually observing the graph.

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$The signum (or sign) function , denoted by sgn, is defined by sgn x = { -1 0 1 . (a) Sketch the graph of this function. (b) Find each of the following limits or explain why it does not exist. (i) limx →0^ sgn x (ii) limx →0^-sgn x (iii) limx →0sgn x (iv) limx →0| sgn x | | Numerade$

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