1. The problem asks for the domain of the function $f$ represented by the given curve. 2. The domain of a function is the set of all possible $x$-values for which the function is defined. 3. From the graph description: - The curve starts at $x = -4$ with a filled circle, meaning $f(-4)$ is defined. - The curve passes through $x = -1$ with an open circle, meaning $f(-1)$ is not defined. - The curve continues to the right towards positive infinity. 4. Therefore, the domain includes all $x$ from $-4$ to infinity, including $-4$ but excluding $-1$. 5. In interval notation, this is $[-4, \infty) \setminus \{-1\}$. 6. Comparing with the options: - a) $\mathbb{R} \setminus \{-4, -1\}$ excludes $-4$ which is included, so incorrect. - b) $]-4, -1[$ excludes $-4$ and $-1$, incorrect. - c) $[-4, \infty[$ includes $-1$, incorrect. - d) $[-4, \infty[ \setminus \{-1\}$ matches our domain. Final answer: d) $[-4, \infty[ \setminus \{-1\}$