It can be quite hard. First determine the domain. Then, for every input value from the domain, calculate the output value. The set of all these output values is the range.
For simple functions you will not need to find every output value. For monotonic continuous functions the end points of the domain will determine the endpoints of the range. [Monotonic means never decreasing or never increasing]. For non-monotonic functions, for example a quadratic or polynomial of higher order, you may need to find the turning points.
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Domain is a set in which the given function is valid and range is the set of all the values the function takes
The range of a function is the set of values of the dependent variable (y) for which the function is defined.
Range often is used when talking about functions. We are allowed to put certain values into the function and the collection of all these values is the function's domain and certain numbers come out of the function and these are its range.
The domain of a function is a set of input values that make the function work, usually symbolized by an 'X'. The range. The range is the output values that result from using the function, usually symbolized by a 'Y'.
The range of a function is the set of values that the function can take. In the context of probability and statistics, it is the difference between the maximum value and the minimum value that a variable can take.