Use a graphing utility to graph function. Use a [-20,20,2] by [-20,20,2] viewing rectangle. Then find the intervals on which the function is increasing, decreasing, or constant f(x)=x^1/3 (x+16)

we have the function
[tex]f(x)=x^{(\frac{1}{3})}\cdot(x+16)[/tex]using a graphing tool
see the attached figure
the graph is option C
The function is increasing on the interval
(-4, +∞)
The function is decreasing on the interval
(--∞, -4)
Intervals on which the function is constant
there are no intervals on which the function is constant