https://r2.erweima.ai/mathbot/image/17267168289237i5dcxxr.jpg

Según los datos de la tabla resuelve:
 


In the graph you provided, we're asked to determine the limit of the function \( f(x) \) as \( x \) approaches 4, denoted as \( \lim_{x \to 4} f(x) \).

From the graph, it is observed that as \( x \) approaches 4 from both the left and the right, \( f(x) \) approaches the same value. The function seems continuous at \( x = 4 \), and there is a filled dot at \( x = 4 \), indicating the function's value at that point.

Looking closely at the y-coordinate of the filled dot at \( x = 4 \), we can see it lies exactly at -3 on the y-axis.

Therefore, the limit \( \lim_{x \to 4} f(x) = -3 \).

If you have further questions or need more details, feel free to ask. Here are some related questions you might consider:

1. What would the limit be if the function had a gap (was not continuous) at \( x = 4 \)?
2. How do limits at a point differ if the function has a jump discontinuity?
3. What is the significance of one-sided limits and when would you use them?
4. Could you determine the derivative of \( f(x) \) at \( x = 4 \) from this graph?
5. What would the graph look like if \( f(x) \) had an asymptote instead of a continuous value at \( x = 4 \)?

**Tip:** Always check if the function is continuous at the point of interest when calculating limits; this can simplify the process significantly.

Determine the limit of the function f(x) as x approaches 4 using the graph provided.

Learn how to determine the limit of the function f(x) as x approaches 4 using graph analysis. Understand key mathematical concepts such as limits and continuity with a detailed explanation based on visual data from the graph. Suitable for Grades 10-12.

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