The graph of a function \( f \) is shown to the right. Use the graph to find the following. \( f(-1)=-4 \) Choose the correct domain. A. \( (-5,3) \) B. \( (-6,-2) \) C. \( (-10,10) \) D. \( (-\infty, \infty) \) What is the set of all \( x \)-values such that \( f(x)=-5 \) ? A. \( \varnothing \) B. \( \{-3\} \) C. \( (-5,3) \)

The domain of a function refers to all the possible input values (x-values) for which the function is defined. By examining the graph, the correct choice appears to be between \( (-5,3) \) and possibly \( (-\infty, \infty) \). However, if the graph notably enforces boundaries on x, such as starting at -5 and ending at 3, the domain specifically is \( A. (-5,3) \). As for the values of \( x \) such that \( f(x) = -5 \), you can identify where the graph intersects the horizontal line at \( y = -5 \). If there are no such intersections visible on the graph, then the answer is \( A. \varnothing \) indicating that no \( x \)-values result in \( f(x) = -5 \).