Answer :

A function's range is the collection of all possible values that it can accept, and its domain is the set of all values for which the function is defined.

A value for x is said to be in the domain of a function f if it successfully allows the production of a single value y using another value for x. The following requirements are frequently verified when a function's output y-value is required to be a real number:

1. The numerator cannot be zero.

2. Even roots (square roots, etc.) radicands (expressions denoted by a radical symbol) cannot have a negative value.

3. Only positive values can be used in logarithms.

4. Physical or other real-world constraints may be placed on word problems, such as the fact that time is not negative or that the number of items is an integer.

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