The function f(x) = 4 is a constant function. This means that for any value of x, the output is always 4. Let’s break down the domain and range of this function:
Domain
The domain of a function is the set of all possible input values (x-values) for which the function is defined. Since f(x) = 4 is a constant function, it is defined for all real numbers. Therefore, the domain of f(x) = 4 is:
Domain: All real numbers, or in interval notation, (-∞, ∞).
Range
The range of a function is the set of all possible output values (y-values) that the function can produce. For the function f(x) = 4, no matter what value of x you input, the output is always 4. Therefore, the range of f(x) = 4 is:
Range: {4}
In summary, the domain of f(x) = 4 is all real numbers, and the range is the single value 4.