Question

Range of the function f(x) = tan^–1 [x] +[-x] + √(2- | x |) + 1/x² is :

(where [.] is the greatest integer function) 

Answer 1

Domain 

2 – |x| ≥ 0 

⇒|x| ≤ 2 

⇒ x = –2, –1, 0, 1, 2 

at x = ±1 

y = 2 

x = ±2 

y = 1/4