Consider the function $\mathrm{f}:\left[\frac{1}{2}, 1\right] \rightarrow \mathrm{R}$ defined by $f(x)=4 \sqrt{2} x^3-3 \sqrt{2} x-1$. Consider the statements (I) The curve y=f(x) intersects the x-axis exactly at one point (II) The curve y=f(x) intersects the x-axis at $\mathrm{x}=\cos \frac{\pi}{12}$ Then