\( f(3)=-4 \) Choose the correct domain. A. \( (0,6) \) B. \( (-6,-2) \) C. \( (-\infty, \infty) \) D. \( (-10,10) \) What is the set of all \( x \)-values such that \( f(x)=-4 ? \) A. \( (0,6) \) B. \( \{3\} \) C. \( \varnothing \)

To determine the correct domain, one must consider the behavior and context of the function \( f \). If \( f(3) = -4 \), the function must be defined at least at \( x = 3 \). Thus, the choices that are within the range of \( 3 \) will be more reasonable. The correct domain could be any of the options that include 3, with \( D. (-10,10) \) being the broadest and thus the best choice generally. As for the set of all \( x \)-values such that \( f(x) = -4 \), since the problem states that \( f(3) = -4 \) and there is no other information given about other inputs, the only identified \( x \)-value that satisfies this condition is \( B. \{3\} \). So, we only have that single value where the function meets the criterion of resulting in \(-4\).