MathematicsMedium175×since 2002Q2733Consider the function f:[12,1]→Rf:\left[\frac{1}{2}, 1\right] \rightarrow \mathbb{R}f:[21,1]→R defined by f(x)=42x3−32x−1f(x)=4 \sqrt{2} x^3-3 \sqrt{2} x-1f(x)=42x3−32x−1. Consider the statements (I) The curve y=f(x)y=f(x)y=f(x) intersects the xxx-axis exactly at one point. (II) The curve y=f(x)y=f(x)y=f(x) intersects the xxx-axis at x=cosπ12x=\cos \frac{\pi}{12}x=cos12π. ThenABoth (I) and (II) are correct.BOnly (I) is correct.CBoth (I) and (II) are incorrect.DOnly (II) is correct.Check answerSkip