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

Dec 29, 2017

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

$\frac{x}{2} + \frac{\pi}{4} \ne \left(2 n + 1\right) \frac{\pi}{2}$

$\frac{x}{2} \ne n \pi + \frac{\pi}{4}$

$x \ne 2 n \pi + \frac{\pi}{2}$
So, ${D}_{f} = R - \left\{2 n \pi + \frac{\pi}{2}\right\}$ and ${R}_{f} = R$
2) Check$F ' \left(x\right) \mathmr{and} F ' ' \left(x\right)$
And draw