The Mean Value Theorem: Quiz

Problem 2

Let f(x) = x3 – 3x.

Determine whether f is increasing on the following intervals.

  1. (–1, 0)
  2. (1, ∞)
  3. (–∞, –1)
  4. (0, 1)
  5. (0, ∞)

Answers, problem 2

  1. (–1, 0): no
  2. (1, ∞): yes
  3. (–∞, –1): yes
  4. (0, 1): no
  5. (0, ∞): no

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