Math 1910- Calculus Checkpoint: D41. Consider the function \( f(x)\) below. (a) Determine the values of \( x \) for which the function is non-differentiable. (b) Complete the table below by approximating the derivatives. \begin{tabular}{|c|c|c|c|c|c|c|c|c|}\hline\( x \) & -1.5 & -1 & -0.5 & -0.25 & 0 & 0.25 & 0.5 & 1\\\hline\( f^{\prime}(x)\) & & & & & & & & \\\hline \end{tabular}(c) Sketch the derivative of \( f(x)\). Which of the following could be the graph of \( f(x)\). For each that could not, give a reason it couldn't be. For each it could be, explain how you determined that. 2. Consider the graph of \( f^{\prime}(x)\) below.Which of the following could be the graph of \( f(x)\). For each that could not, give a reason it couldn't be. For each it could be, explain how you determined that.