Sketching
Sketch a continuous function 𝑓𝑥 with the following properties:
𝑓𝑥≥0 on the interval (−∞,−1) 
𝑓𝑥 is a cubic polynomial
𝑓0=−4 is a local minimum
The rate of change of 𝑓𝑥 is decreasing on 1,∞ 
Is it possible 𝑓𝑥 is an odd function?
Is it possible 𝑓𝑥 has two nonreal zeros?
Is it possible 𝑓𝑥 has no nonreal zeros?