1. **Problem Statement:** We need to evaluate the limit of the function $f(x)$ as $x$ approaches 2 from the right side, denoted as $\lim_{x \to 2^+} f(x)$. 2. **Understanding the Graph:** The graph shows two functions: a blue curve and an orange line. The blue curve rapidly decreases near $x=2$ from the left towards negative infinity just after $x=2$. The orange line passes through $(2,2)$ and decreases with a negative slope to the right. 3. **Key Concept:** The limit from the right side means we look at values of $x$ slightly greater than 2 and observe the behavior of $f(x)$. 4. **Observing the Blue Curve:** As $x$ approaches 2 from the right, the blue curve goes downwards without bound, indicating $f(x) \to -\infty$. 5. **Conclusion:** Therefore, the limit is $\lim_{x \to 2^+} f(x) = -\infty$.