In mathematics, the domain of a function refers to the set of all possible input values of the function, while the range refers to the set of all possible output values of the function.
To find the range of a function from its domain, you typically need to analyze the function and determine the set of all possible output values that can be obtained from the given domain.
For example, consider the function f(x) = x^2. If the domain of the function is all real numbers, then we can find the range by considering the behavior of the function. Since the square of any real number is always non-negative, we know that the output values of f(x) are always non-negative. Therefore, the range of the function is the set of all non-negative real numbers, or [0, infinity).
In some cases, finding the range of a function may require more complex analysis or the use of tools such as calculus or graphing. However, in general, the range of a function can be found by analyzing the behavior of the function over its domain and determining the set of all possible output values.
