How do you find the domain and range of #f(x) = x^3 + 5#?

Every cubic function like this has a domain and range of all real numbers, meaning that there are no hole, vertical asymptotes, or any type of discontinuities. So if you see a polynomial that doesn't have an x in the denominator and no restrictions already put on it, then it will always have a domain and range of all real numbers. Let me know if you need clarification on anything

To find the domain of the function f(x) = x^3 + 5, you need to determine all possible values of x for which the function is defined. Since the function is a polynomial, it is defined for all real numbers. Therefore, the domain of f(x) is all real numbers, which can be expressed as (-∞, ∞).

To find the range of the function, you need to determine all possible values of f(x) for the corresponding values of x in the domain. Since x^3 can take on any real value, and adding 5 to any real number also results in a real number, the range of the function f(x) = x^3 + 5 is also all real numbers, which can be expressed as (-∞, ∞).