# How do you graph y=0.1tan((pix)/4+pi/4) and include two full periods?

Jul 4, 2018

Period is 4 radian. See graph and explanation.

#### Explanation:

The period of tan ( ax + b ) ia $\frac{\pi}{\left\mid a \right\mid}$. So,

the period here is $\frac{\pi}{\frac{\pi}{4}} = 4$ radian.

Graph for two periods, $x \in \left(- 3 , 5\right)$, with asymptotes x + 3 =

0, $x - 1 = 0$ and $x - 5 = 0$:

graph{(y-0.1tan(pi/4(x+1)))(x+3+.02y)(x-1+.02y)(x-5+.02y)=0[-3 5 -2 2]}