Question

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)

Answer 1

we have the function

`f(x)=x^{((1)/(3))}\cdot(x+16)`

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