Let \(𝑓(𝑥) = 𝑥^{−(1/3)}\) and 𝐴 denote the area of the region bounded by…

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 is continuous in [−1, 1]

II)    𝑓 is not bounded in [−1, 1]

III)    𝐴 is nonzero and finite