CS GATE 2015 (Test 5)

Tag: cs gate 2015
Let f(x) = x-(1/3) and A denote the area of the region bounded by f(x) and the X-axis, when x varies from – 1 to 1. Which of the following statements is/are TRUE? 
(I) f iscontinuous in [-1,1] 
(II) f isnot bounded in [-1,1] 
(III) A is nonzero and finite
A. II only
B. III only
C. II and III only
D. I, II and III
Answer : Option C
Explaination / Solution:

Since f(0) ® ¥
f is not bounced in [-1,1] and hence f is not continuous in [-1,1]

Statement II & III are true