What is the domain of the function \( f(x)=x^{3}-10 \) ? (1 point) \( (-\infty, 10) \) \( (-\infty, \infty) \) \( (-\infty,-10) \) \( (-10,10) \)

The domain of the function \( f(x) = x^{3} - 10 \) is all real numbers, as there are no restrictions on the values that \( x \) can take. This means you can substitute any real number into the function and still get a valid output. In interval notation, this is expressed as \( (-\infty, \infty) \). Understanding the properties of polynomial functions can also shed light on their domains. Polynomials like \( x^{3} \) are continuous and smooth, meaning they won't have breaks, gaps, or asymptotes. This characteristic ensures that their domain is always the entire set of real numbers.