https://file.aiquickdraw.com/mathbot/file/17276150026369p8c1921.jpg

Let's analyze the graph based on the three tasks:

### i) **Funktion f nollakohdat (Zero points of the function f)**:
The zero points are where the function \( f(x) = 0 \). This occurs where the curve intersects the x-axis. Based on the graph, the function has zero points at:
\[
x = -3 \quad \text{and} \quad x = 1
\]

### ii) **Funktion f arvo, kun \( x = -2 \) (Value of the function when \( x = -2 \))**:
At \( x = -2 \), we can observe the y-coordinate on the graph, which is around 2. Therefore:
\[
f(-2) = 2
\]

### iii) **Ne muuttujan arvot, joilla funktio f saa arvon -2 (The values of \( x \) where the function \( f(x) = -2 \))**:
We need to find where the graph intersects the line \( y = -2 \). Based on the graph, the function takes the value \( -2 \) at two points:
\[
x = -1 \quad \text{and} \quad x = 0
\]

### Summary:
1. **Zero points**: \( x = -3 \) and \( x = 1 \)
2. **\( f(-2) = 2 \)**
3. **\( f(x) = -2 \) at \( x = -1 \) and \( x = 0 \)**

Would you like further details on any of these? 

Here are 5 related questions to explore further:
1. What is the maximum value of the function based on the graph?
2. What is the minimum value of the function?
3. What is the behavior of the function as \( x \to \infty \)?
4. Can you derive the equation of the function based on the graph?
5. How would you interpret the slope at various points on this graph?

### Tip:
When analyzing graphs, always look at where the function intersects key lines (such as the x-axis and y-axis) for important values like zeros and y-intercepts.

Determine based on the graph:
 i) The zeros of the function f 
 ii) The value of the function when x = -2 
 iii) The values of x where the function f(x) = -2

Learn how to determine the zeros of a function, find function values, and analyze where the function takes specific values based on the graph. This problem involves interpreting the graph of a function, identifying zero points, and analyzing the function at specific x-values. Suitable for Grades 9-10 students.

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