GATE Computer Science (CS) 2015 Shift 2 Solved Paper

Let (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 is continuous in [−1, 1]
II) 𝑓 is not bounded in [−1, 1]
III) 𝐴 is nonzero and finite