Graphs of Tangent Function (Leaving Cert Mathematics): Flashcards

$\pi$

$\tan(x + \pi) = \tan(x)$

$x = \frac{\pi}{2} + n\pi$, $n \in \mathbb{Z}$

All real numbers, $(-\infty, \infty)$

$x = \frac{\pi}{2} + n\pi$, $n \in \mathbb{Z}$

$0$

$\tan(-x) = -\tan(x)$, symmetric about origin

Rises from $-\infty$ to $\infty$

$-\frac{\pi}{2}$ to $\frac{\pi}{2}$

No maximum or minimum (unbounded)

$1$

Undefined