Question

Use the information summarized below to sketch the graph of f.
 f(x) = x - 3 x^{1/3} 

Domain: (-∞, ∞)
Intercepts: x-intercepts: ±3√3, 0
Asymptotes: None
Intervals where f is increasing: (-∞, -1) ∪ (1, ∞)
Intervals where f is decreasing: (-1, 1)
Relative extrema: Rel. max. at (-1, 2); rel. min. at (1, -2)
Concavity: Downward on (-∞, 0); upward on (0, ∞)
Point of inflection: (0, 0)

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