Question

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

Answer 1

Period is 4 radian. See graph and explanation.

Explanation:

The period of tan ( ax + b ) ia `pi/abs(a)`. So,

the period here is `pi/(pi/4) = 4` radian.

Graph for two periods, `x in ( -3, 5 )`, 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]}