Let \( \mathbb{R} \) denote the set of all real numbers. Define the function \( f:\mathbb{R}\to\mathbb{R} \) by Then which one of the following statements is TRUE?
The function \( f \) is NOT differentiable at \( x=0 \)
There is a positive real number \( \delta \), such that \( f \) is a decreasing function on the interval \( (0,\delta) \)
For any positive real number \( \delta \), the function \( f \) is NOT For any positive real number number \( (-\delta,0) \)
\( x=0 \) is a point of local minima of \( f \)