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)

Use a graphing utility to graph function Use a 20202 by 20202 viewing rectangle Then find the intervals on which the function is increasing decreasing or consta class=

Respuesta :

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

Ver imagen SheyliD157313
Ver imagen SheyliD157313