1. The problem asks which limit expressions agree with the graph of function $f$ that has vertical asymptotes at $x=-5$, $x=-1$, $x=3$, and $x=7$. 2. Recall that a vertical asymptote at $x=a$ means the limit of $f(x)$ as $x$ approaches $a$ from the left or right tends to $\pm \infty$. 3. From the graph description: - As $x \to -5^-$, the curve moves upward toward the vertical asymptote, so $\lim_{x \to -5^-} f(x) = +\infty$ (not $-\infty$). - As $x \to -1$, the curve moves upward toward the vertical asymptote from the left and upward away from it on the right, so $\lim_{x \to -1} f(x) = +\infty$ (not $-\infty$). - As $x \to 3^+$, the curve moves upward away from the vertical asymptote, so $\lim_{x \to 3^+} f(x) = +\infty$ (not $-\infty$). 4. Therefore: - Option A: $\lim_{x \to -1} f(x) = -\infty$ is false. - Option B: $\lim_{x \to 3^+} f(x) = -\infty$ is false. - Option C: $\lim_{x \to -5^-} f(x) = -\infty$ is false. 5. None of the given limit expressions agree with the graph.