Task 2. Determine which function's graph is depicted: a) $y=x^{3}+x^{2}+x+1$; b) $y=x^{3}+2 x^{2}+x+1$; c) $y=x^{3}+x^{2}+3 x+1$; d) $y=x^{3}+x^{2}+x-1$.

![](https://cdn.mathpix.com/cropped/2024_05_06_4fa7d7fb730a8666e646g-1.jpg?height=383&width=828&top_left_y=591&top_left_x=634)
Answer: a)

Task 3. In triangle $ABC$, side $BC$ is equal to $\frac{5 \sqrt{6}}{3}$, and angles $BAC$ and $ABC$ are $45^{\circ}$ and $75^{\circ}$, respectively. Find side $AB$.

Answer: 5

Task 4. What is the area of the figure in the image, if the side of the cell is 1?

![](https://cdn.mathpix.com/cropped/2024_05_06_4fa7d7fb730a8666e646g-1.jpg?height=360&width=420&top_left_y=1305&top_left_x=841)

Answer: 16