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

question 26

Multiple Choice

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