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Finding the domain and range of discontinuous functions

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Types of discontinuous functions, finding the domain and range of the discontinuous functions.

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Solution Summary

Function, domain, range, discontinuous functions, types of functions are discussed. The types of discontinuous functions are used to find the domain and range of the discontinuous functions.

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Types of discontinuous functions, finding the domain and range of the discontinuous functions.

Domain and Range of Discontinuous Functions

Description: This lesson helps you how to find domain and range of discontinuous function.

Domain
Definition
Domain is the set of all real values that the independent variable "x" can assume. The domain of the function is set of all possible input values.

Examples
1) In the linear function y = x + 2, "x" can assume any real value.
2) In the square root function, y = √(x - 4). Here "x - 4 " has to be positive since square roots of negative numbers are not defined.
So the domain is x ≥ 4.

Range
Range is the set of all real values that the dependent variable "y" takes. The range of a function refers to the output of a function.
Examples
1) In the linear function y = x + 2 there is no restriction on the values "y" takes. So the range of the function is set of all real values.
2) In the square root function, y = √(x - 4), y takes on only positive values (positive square root) and zero.
So the range is y ≥ 0.

Discontinuous Functions
Discontinuous functions are functions that ...

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