Let's analyze the graph and solve problems 2 to 9 by interpreting the given limits and function values:

2. $\lim_{{x \to 2}} f(x)$:

• From the graph, as $x$ approaches 2 from both sides, $f(x)$ seems to approach $2$. $\lim_{{x \to 2}} f(x) = 2$

3. $\lim_{{x \to 4}} f(x)$:

• As $x$ approaches 4 from both sides, the function stays at $f(x) = 2$. $\lim_{{x \to 4}} f(x) = 2$

4. $f(4)$:

• At $x = 4$, the function value is $2$. $f(4) = 2$

5. $\lim_{{x \to 2^+}} f(x)$:

• As $x$ approaches 2 from the right, $f(x)$ approaches 2. $\lim_{{x \to 2^+}} f(x) = 2$

6. $\lim_{{x \to 2^-}} f(x)$:

• As $x$ approaches 2 from the left, $f(x)$ also approaches 2. $\lim_{{x \to 2^-}} f(x) = 2$

7. $\lim_{{x \to 6^-}} f(x)$:

• As $x$ approaches 6 from the left, $f(x)$ approaches 1. $\lim_{{x \to 6^-}} f(x) = 1$

8. $\lim_{{x \to 6^+}} f(x)$:

• As $x$ approaches 6 from the right, $f(x)$ approaches 0. $\lim_{{x \to 6^+}} f(x) = 0$

9. $f(6)$:

• At $x = 6$, the graph shows that $f(6) = 0$. $f(6) = 0$

Let me know if you'd like further clarification or more details! Here are some related questions to explore:

1. How do