Consider h(x)=x13(x2-4). Find the open intervals on which the function is increasing and those on which it is decreasing.
a) Increasing:(−[infinity],−2) and (2,[infinity]); Decreasing:(−2,2)
b) Increasing: (−[infinity],−2) and (0,2); Decreasing:(−2,0) and (2,[infinity])
c) Increasing:(−[infinity],0) and (2,[infinity]); Decreasing: (0,2)
d) Increasing: (−[infinity],0) and (0,2); Decreasing: (−2,0) and (2,[infinity])