Question

State the domain and range for the function.
f(x)= 2 csc (x/2) )

Answer 1

Option b

Explanation:

Since we are dealing with a question that deals with domain and range, it is best if we solve the problem graphically with the help of a calculator or any plotting tool.

Please, see attached image

We graph the equations and find the behavior of the graph

Domain

All reals except multiples of 2π

Range:

f(x) ∈ (-∞,-2] ∪ [2,∞)