(Solved): The figure above shows the graph of the derivative of \( f, f^{\prime} \), on the closed interval \ ...

The figure above shows the graph of the derivative of \( f, f^{\prime} \), on the closed interval \( -1.5 \leq x \leq 3.5 \). The graph of \( f^{\prime} \) has a horizontal tangent line at \( x=2 \) and is linear on the interval \( [-1.5,0.75] \). (a) Find the \( x \)-coordinates of the relative maxima of \( f \). Justify you answer. (b) Find the \( x \)-coordinates of the points of inflection off. Justify your answer. (c) On what intervals is \( f \) decreasing? Justify your answer. (d) Is the function \( f \) twice-differentiable? Justify your answer.