Math  /  Calculus

QuestionConsider f(x)=x32x24x+5f(x)=x^{3}-2 x^{2}-4 x+5. Which of the following is true? I. f(x)f(x) is increasing on (,23)\left(-\infty,-\frac{2}{3}\right) and (2,)(2, \infty) II. f(x)f(x) has a local maximum at x=23x=-\frac{2}{3} III. Only f(x)f(x) has a local maximum at x=2x=2
Select an option: I only II only III only I and II only I, II and III

Studdy Solution
Statements I and II are true, while III is false.
Therefore, the correct answer is **I and II only**.

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