https://file.aiquickdraw.com/mathbot/file/1726798165596eu6zx303.jpg

The image you've uploaded contains a problem regarding limits and graph analysis. Specifically, it's asking for an evaluation of statements related to the function \( y = f(x) \) based on its graph.

The graph appears to be a parabola, and you're required to determine whether statements about limits are true or false. Here's what I can extract from the image:

### Statements:
1. **True or False: \( \lim_{x \to 0} f(x) = 1 \)**  
   This statement asks whether the limit of \( f(x) \) as \( x \) approaches 0 is 1.
   
2. **True or False: \( \lim_{x \to -1} f(x) \) exists.**  
   This statement is checking if the limit exists as \( x \) approaches \(-1\).

3. **True or False: \( \lim_{x \to 1} f(x) \) exists.**  
   The existence of the limit as \( x \) approaches 1 is in question here.

Would you like to walk through each of these statements and analyze the graph to determine the truth of each one?

If you need more detailed help on these limits, feel free to let me know! Here are 5 relative questions to consider:

1. What is the graphical meaning of a limit at a point?
2. How can we determine if a limit exists at a specific point on a graph?
3. What role do discontinuities play in determining the existence of limits?
4. How do left-hand and right-hand limits relate to the overall limit?
5. Can limits exist at points where the function is not defined?

**Tip:** To check limits graphically, look at the behavior of the function as it approaches the point from both sides, and make sure the left and right-hand limits agree.

Use the graph to determine whether the statements about the function y = f(x) are true or false. Example: Does lim(x -> 0) f(x) = 1?

Analyze the graph of a function to determine whether certain limit statements are true or false. This problem covers limit evaluation, graph behavior, and continuity. Suitable for high school pre-calculus or calculus students.

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