Find \( f(x) \) for the indicated values of \( x \), if possible. Find the domain of \( f \). Use words or inequalities to describe the domain. \( f(x)=x^{3} \) for \( x=-2,5 \)

To find \( f(x) \) for the indicated values of \( x \), we will evaluate the function \( f(x) = x^3 \) at \( x = -2 \) and \( x = 5 \). 1. **Calculate \( f(-2) \)**: \[ f(-2) = (-2)^3 = -8 \] 2. **Calculate \( f(5) \)**: \[ f(5) = 5^3 = 125 \] So, the values of \( f(x) \) for the indicated values of \( x \) are: - \( f(-2) = -8 \) - \( f(5) = 125 \) Next, we will determine the domain of \( f(x) = x^3 \). The function \( f(x) = x^3 \) is a polynomial function, and polynomial functions are defined for all real numbers. Therefore, the domain of \( f \) is: \[ \text{Domain of } f: \text{ all real numbers } (-\infty, \infty) \] In words, the domain of \( f \) includes all real numbers.