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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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Q: How do you identify the range of a function in math?
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