Question

Asked Oct 8, 2019

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)

Step 1

Given informa...

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