Answer:
C
Explanation:
If you start by picking a point to plug in you can check easily to see what works.
Lets start with x=pi. If we plug that into all the answer choices,
A. sec(pi/2)+2 = does not exist
B. 1/2sec(2pi) = 1/2
C. 2sec(pi/2) = does not exist
D. 2csc(pi/2) = 1
So, since at pi there is a vertical asymptote it should not exist. So, A or C.
Then pick x = 0, y must be 2.
A. sec(0) +2 = 1+2 = 3
C. 2sec(0) = 2
So, C must be the answer.