The given function is f(x) = 4x + 8, which is a linear function.
Domain: The domain of a function consists of all the possible input values (x-values). In the case of linear functions, there are no restrictions on the values that x can take. Therefore, the domain of f(x) = 4x + 8 is all real numbers, which can be expressed in interval notation as:
Domain: (-∞, ∞)
Range: The range of a function consists of all the possible output values (y-values) it can produce. Since f(x) is a linear function and has a positive slope (due to the coefficient of x being 4), as x approaches positive or negative infinity, f(x) will also approach positive or negative infinity, respectively. Thus, the range is also all real numbers:
Range: (-∞, ∞)