Domain Restrictions and Functions Defined Piecewise - Concept

Concept Concept (1)

An important concept in the study of functions, especially piece-wise defined functions, is that of domain restrictions. Domain restrictions allow us to create functions defined over numbers that work for our purposes. Piecewise defined functions are the composition of multiple functions with domain restrictions that do not overlap. Some functions are restricted from values that make them undefined.

Sample Sample Problems (3)

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Domain Restrictions and Functions Defined Piecewise - Problem 1
Problem 1
How to graph a piecewise-defined function.
Domain Restrictions and Functions Defined Piecewise - Problem 2
Problem 2
How to graph a piecewise-defined function with three pieces, and to find its domain and range.
Domain Restrictions and Functions Defined Piecewise - Problem 3
Problem 3
How to graph a piecewise-defined function with an asymptote, and how to find its domain and range.