Example 6: Sketching
Sketch a continuous function 𝑓𝑥 with the following properties:
The rate of change of 𝑓𝑥 is positive on the intervals 0,2 and 4,∞
𝑓2=3
𝑓𝑥 has two relative minima
𝑓𝑥 has one local maximum
𝑓𝑥 decreases at an increasing rate on the interval −∞,0