Relative Extrema and Inflection Points

Let $f$ be a function defined on the open interval $0.4 < x < 2.4$ such that its first derivative is $f'(x) = \sin(x^2)$. Which of the following statements is true?

I. $f$ has a relative maximum on the interval $0.4 < x < 2.4$.

II. $f$ has a relative minimum on the interval $0.4 < x < 2.4$.

III. The graph of $f$ has two points of inflection on the interval $0.4 < x < 2.4$.