The image contains mathematical content on a whiteboard. Here's an analysis of the visible mathematical equations and content:

1. Function $f(x) = x^4 - x^2$:

   • This appears to be a polynomial function. The graph shown (with a wavy shape) likely represents this function.
   • $f(x)$ can be factored as $f(x) = x^2(x^2 - 1) = x^2(x - 1)(x + 1)$. The critical points occur at $x = -1, 0, 1$.

2. Second function $g(x) = x - 1$:

   • This is a linear function, and it appears to have some relationship with the given polynomial. For example, $g(x)$ might be a tangent or intersect the graph of $f(x)$.

3. Tasks (in Persian):

   • From the visible text, it seems that the instructions (in Persian) are asking for:
     1. Analyzing or sketching the graph of $f(x)$.
     2. Possibly comparing it with $g(x)$, finding intersections, or calculating specific values.

Would you like me to:

• Analyze the graphs of these functions further?
• Solve intersections of $f(x)$ and $g(x)$?
• Translate and interpret the Persian text in more detail?

Suggested Questions for Exploration:

1. What are the critical points of $f(x) = x^4 - x^2$, and how do they relate to the graph?
2. How does $g(x) = x - 1$ intersect the graph of $f(x)$?
3. What is the significance of factoring $f(x)$? How does it help with graphing?
4. What is the behavior of $f(x)$ as $x \to \pm\infty$?
5. How can the derivative of $f(x)$ help in finding its turning points?

Tip:

Always factorize polynomial functions whenever possible—it simplifies finding roots, turning points, and understanding graph behavior.