1. **State the problem:** We are given a function $f$ with vertical asymptotes at $x=0$ and $x=4$, and a horizontal asymptote at $y=-2$. We need to determine which of the given limit expressions agree with the graph. 2. **Analyze limit A:** $\lim_{x\to 0^+} f(x) = -\infty$ - The graph shows that as $x$ approaches $0$ from the right, the function decreases without bound toward negative infinity. - This matches the description of limit A. 3. **Analyze limit B:** $\lim_{x\to 0} f(x) = \infty$ - The graph near $x=0$ shows the left side approaching positive infinity and the right side approaching negative infinity. - Since the left and right limits are not equal, the two-sided limit does not exist. - Therefore, limit B is false. 4. **Analyze limit C:** $\lim_{x\to 4^+} f(x) = -\infty$ - The graph shows that as $x$ approaches $4$ from the right, the function decreases without bound toward negative infinity. - This matches the description of limit C. **Final answer:** Limits A and C agree with the graph, but limit B does not.