How do you find the domain, range, and asymptote for #y = 1 - tan ( x/2 - pi/8 )#?
1 Answer
Ask yourself where the function is defined.
Explanation:
The function
The domain is
An asymptote of a curve is a line such that the distance between the curve and the line approaches zero as one or both of the x or y coordinates tends to infinity.(from wikipedia)
In this case the asymptotes are vertical lines
Read more about asymptotes .
Some help:
1.
Remember about
Look at the unit circle, the distance between the x-ax and the intersection of the green and blue line is
graph{tan(x) [-5, 5, -2.5, 2.5]}
2.
You can use this graphing calculator write in