Example 5: Sketching
Sketch a continuous function 𝑓𝑥 with the following properties:
𝑓 is decreasing and concave down on the interval (−∞,−2) 
𝑓 is decreasing and concave up on the interval −2,0 
𝑓 is increasing and concave up on the interval 0,3 
𝑓 is increasing and concave down on the interval 3,∞ 