Let f(x)=∣x∣+x2 defined on the closed interval [−3,2]. Which of the following correctly describes its monotonicity?
a) f\, is increasing on [−3,0] and decreasing on [0,2]
b) f\, is decreasing on [−3,−21] and increasing on [−21,2]
c) f\, is decreasing on [−3,0] and increasing on [0,2]
d) f\, is increasing throughout [−3,2]