Domain or range of modulus-based functions

The question asks to find the domain, range, or the set of outputs of a function whose definition involves absolute values (e.g., square roots of expressions with modulus).

turkey-yks 2010 Q5 View
$$f(x) = \sqrt{2-|x+3|}$$
Which of the following is the domain interval of the function?
A) $3 \leq x \leq 5$
B) $-1 \leq x \leq 5$
C) $-3 \leq x \leq 4$
D) $-3 \leq x \leq 0$
E) $-5 \leq x \leq -1$