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From the image you uploaded, it shows a question related to limits and continuity for a given function \( g \) whose graph is provided. The question asks to evaluate or explain the limits for various values of \( t \) based on the graph of \( g(t) \).

Here’s the breakdown of the limits you need to evaluate based on the graph:

1. \(\lim_{t \to 0^-} g(t)\) 
   - The limit as \( t \) approaches 0 from the left-hand side.
   
2. \(\lim_{t \to 0^+} g(t)\)
   - The limit as \( t \) approaches 0 from the right-hand side.
   
3. \(\lim_{t \to 0} g(t)\)
   - The overall limit as \( t \) approaches 0 from both sides (this exists if and only if the left-hand and right-hand limits are equal).

4. \(\lim_{t \to 2^-} g(t)\)
   - The limit as \( t \) approaches 2 from the left-hand side.

5. \(\lim_{t \to 2^+} g(t)\)
   - The limit as \( t \) approaches 2 from the right-hand side.

6. \(\lim_{t \to 2} g(t)\)
   - The overall limit as \( t \) approaches 2 from both sides.

7. \( g(2) \)
   - The actual value of the function \( g(t) \) at \( t = 2 \), if defined.

8. \(\lim_{t \to 4} g(t)\)
   - The overall limit as \( t \) approaches 4.

### Steps to proceed:
- You’ll need to observe the behavior of the graph at each point \( t = 0, 2, 4 \) and check whether the left-hand and right-hand limits agree at those points.
- If the graph has a jump or discontinuity, the limit at that point might not exist.

Let me know if you want a detailed step-by-step evaluation of each of the limits, or if you have any specific question! Here's a list of relative questions:

1. How do you determine the limit from a graph at specific points?
2. What is the difference between left-hand and right-hand limits?
3. How do you evaluate if a limit exists or does not exist at a given point?
4. What happens if the left-hand and right-hand limits are not equal?
5. How do you interpret the value of the function at a specific point when evaluating limits?

### Tip:
When analyzing limits from a graph, always pay attention to whether the graph has a hole, jump, or asymptote at the point of interest.

For the function g whose graph is given, state the value of each quantity, if it exists. If it does not exist, explain why.

Evaluate limits and check continuity for a function g whose graph is given. This problem covers key calculus concepts such as left-hand and right-hand limits, overall limits, and the definition of continuity at points. Suitable for high school students in Grades 10-12.

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