Question

How do you graph `y=1/2tan(1/2x+pi/4)`?

Answer 1

Refer below

Explanation:

graph{1/2tan(x/2+ pi/4) [-10, 10, -5, 5]}

Follow the following algorithm
1) First check the domain and range of the function.
First, for domain

`x/2+pi/4 != (2n+1)pi/2`

`x/2 != npi+pi/4`

`x != 2npi+pi/2`
So, `D_f= R-{2npi+pi/2}` and `R_f=R`
2) Check`F'(x) andF''(x)`
And draw