QuestionIn Problems 9-16, use the graph of the function $f$ she mate the indicated limits and function values.
A 9. $f(-0.5)$ Figure for $9-16$
11. $f(1.75)$
10. $f(0.5)$
13. (A) $\lim _{x \rightarrow 0^{-}} f(x)$
12. $f(2.25)$ (C) $\lim _{x \rightarrow 0} f(x)$ (B) $\lim _{x \rightarrow 0^{+}} f(x)$
14. (A) $\lim _{x \rightarrow 1^{-}} f(x)$ (D) $f(0)$ (C) $\lim _{x \rightarrow 1} f(x)$ (B) $\lim _{x \rightarrow 1^{+}} f(x)$
15. (A) $\lim _{x \rightarrow 2^{-}} f(x)$ (D) $f(1)$ (C) $\lim _{x \rightarrow 2} f(x)$ (B) $\lim _{x \rightarrow 2^{+}} f(x)$
16. (A) $\lim _{x \rightarrow 4^{-}} f(x)$ (D) $f(2)$ (C) $\lim _{x \rightarrow 4} f(x)$ (B) $\lim _{x \rightarrow 4^{+}} f(x)$
In Problems 17-21 (D) $f(4)$

Studdy Solution
Evaluate $f(4)$.
From the graph, at $x = 4$, there is no visible discontinuity, so the function value is equal to the limit. Therefore, $f(4) = 4$.
Solution Summary:
1. $f(-0.5) = 1$
2. $f(0.5) = 0.5$
3. $f(1.75) = -0.75$
4. $f(2.25) = 2.25$
5. $\lim_{x \to 0^-} f(x) = 1$
6. $\lim_{x \to 0^+} f(x) = 1$
7. $\lim_{x \to 0} f(x) = 1$
8. $f(0) \text{ does not exist}$
9. $\lim_{x \to 1^-} f(x) = 0$
10. $\lim_{x \to 1^+} f(x) = 0$
11. $\lim_{x \to 1} f(x) = 0$
12. $f(1) = 0$
13. $\lim_{x \to 2^-} f(x) = -1$
14. $\lim_{x \to 2^+} f(x) = 2$
15. $\lim_{x \to 2} f(x) \text{ does not exist}$
16. $f(2) = 2$
17. $\lim_{x \to 4^-} f(x) = 4$
18. $\lim_{x \to 4^+} f(x) = 4$
19. $\lim_{x \to 4} f(x) = 4$
20. $f(4) = 4$