4. Consider the following function: 21 {(1) 2x3+3x224x3 a. Find (\"(1') and f"{x]. h. Construct a first derivative sign chart to determine the open intervals where fix} is increasing or decreasing. Write vour answer in interval notation. Increasing: Decreasing: c. Find all the relative maxlma and mlnima. 1ii'iirite your answer as ordered pairs. d. Construct a second derivative sign chart to determine the open intervals where f(x) is concave up or concave down. Write your answer in interval notation. Concave Up: Concave Down: e. Find any points of inflection. Write your answer as ordered pairs. f. Make a rough sketch of the graph of f(x). Adjust the scale to fit the function