It seems like you've uploaded an image with a graph and mathematical questions. Let me analyze it and provide answers to the questions.

The questions in the image seem to be related to the properties of a function based on the graph. I'll go over the details in the graph and address each part of the query.

Let me extract information from the image and provide insights.Upon analyzing the graph and the questions in the image, here’s the breakdown:

1. Domain (dziedzina):
   The domain is the set of all x-values for which the function is defined. From the graph, it is clear that the function is defined for $x$ between approximately -3 and 3, with no breaks in the graph.

2. Limits (granice funkcji):
   You are asking for the limit of the function as $x$ approaches a certain value. Based on the graph, the function behaves normally as $x$ approaches most values. However, the function has a discontinuity at $x = -1.5$, which would likely affect the limit. This suggests that: $\lim_{x \to -1.5} f(x)$ does not exist or needs to be analyzed further for left and right limits.

3. Arguments where the function is not differentiable (argumenty, w których funkcja jest nieróżniczkowalna):
   The function has points where it is not differentiable, notably at $x = -1$ and $x = 2$, where there are sharp corners or vertical tangents.

4. Points where the function has stationary points (punkty stacjonarne):
   From the graph, the function has stationary points at $x = 0$ and at $x = 2$, where the slope of the tangent is zero (horizontal tangent lines).

5. Range where the function is positive (zakres argumentów dla których funkcja jest dodatnia):
   The function is positive for values of $x$ between approximately $0$ and $2$, as the graph shows values greater than 0 in this interval.

6. Derivative being positive or negative (pochodna tej funkcji jest ujemna/ujemna):
   From the graph, we can infer the behavior of the derivative:

   • The function is increasing (derivative is positive) for $x < 0$.
   • The function is decreasing (derivative is negative) for $x > 2$.

Would you like further details or a more in-depth explanation of any of the aspects covered here? Let me know if you have any questions!

Follow-up questions:

1. How do you find the left and right-hand limits for discontinuous points?
2. What is the general method to calculate the derivative of a function from its graph?
3. Can you explain how to determine the concavity of a function just by analyzing its graph?
4. How do you find where a function changes from increasing to decreasing?
5. What are the criteria for a function to be differentiable at a point?

Tip:

When analyzing a graph for differentiability, look for sharp corners or vertical tangents. These indicate points where the function is not differentiable.