https://file.aiquickdraw.com/mathbot/file/1734616482579s7j5cgpp.jpg

The task is to find the limit of the function \( f(x) \) as \( x \to -3 \) based on the graph provided.

### Analysis:

1. The graph shows \( y = f(x) \), and we focus on the behavior of the function as \( x \) approaches \(-3\).
2. From the graph:
   - As \( x \) approaches \(-3\) from the left (\( x \to -3^-\)), \( f(x) \) approaches \( -1 \).
   - As \( x \) approaches \(-3\) from the right (\( x \to -3^+\)), \( f(x) \) also approaches \( -1 \).

Since the left-hand limit and right-hand limit agree and equal \(-1\), the two-sided limit exists, and:

\[
\lim_{x \to -3} f(x) = -1.
\]

Would you like a more detailed explanation or further steps? 

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### Related Questions:
1. What is the definition of a two-sided limit?
2. How do you determine if a function has a limit at a point with discontinuity?
3. What happens if the left-hand and right-hand limits do not match?
4. How do you calculate a limit using a piecewise function?
5. How do limits relate to continuity at a given point?

### Tip:
When analyzing a graph for limits, always check both the left-hand and right-hand behaviors for consistency.

Find the limit of the function as x approaches -3, based on the graph provided.

Learn how to find the limit of a function as x approaches -3 using graphical analysis. Explore key concepts like two-sided limits and continuity. Suitable for Grades 10-12 students.

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