1. The problem is to draw the function $y=\tan(x)$ in the interval $(-\pi, \pi)$.\n\n2. The tangent function is defined as $\tan(x) = \frac{\sin(x)}{\cos(x)}$. It has vertical asymptotes where $\cos(x) = 0$, which occur at $x = \pm \frac{\pi}{2}$ within the interval $(-\pi, \pi)$.\n\n3. The function is periodic with period $\pi$, and it passes through the origin $(0,0)$. It increases from $-\infty$ to $+\infty$ between the asymptotes.\n\n4. To sketch or plot $y=\tan(x)$, note the vertical asymptotes at $x = -\frac{\pi}{2}$ and $x = \frac{\pi}{2}$, and the function values approach $\pm \infty$ near these points.\n\n5. The graph crosses the x-axis at $x=0$. Between $-\frac{\pi}{2}$ and $\frac{\pi}{2}$, $\tan(x)$ is increasing and continuous. Similarly, between $-\pi$ and $-\frac{\pi}{2}$ and between $\frac{\pi}{2}$ and $\pi$, the function repeats its behavior with vertical asymptotes at the boundaries.