Given $f(x)=3 x^{1 / 3}-4$ (A) Find the Intervals on Which F Is Increasing

Given $f(x) =3 x^{1 / 3}-4$ . (a) Find the intervals on which f is increasing or decreasing.
(b) Find the relative maxima and relative minima of f.

A) (a) Increasing on $(0, \infty)$ ,
Decreasing on $(-\infty, 0)$
(b) Rel. min. $f(0) =-4$
B) (a) Increasing on $(-\infty, \infty)$
(b) None
C) (a) Increasing on $(-\infty, 0)$ ,
Decreasing on $(0, \infty)$
(b) Rel. max. $f(0) =-4$
D) (a) Decreasing on $(-\infty, \infty)$
(b) None

Correct Answer:

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