First and Second Derivative Test Question 3

The graph of \(f'(x)\), the derivative of the function \(f\), is shown above. Which of the following statements is true about \(f\) ?

\(f\) is decreasing for \(-2\lt x \lt 1 \).

\(f\) is increasing for \(-2\lt x \lt 0\).

\(f\) is not differentiable at \(x=1\).

\(f\) has a local minimum at \(x=0\).