Example 7: Sketching
Sketch a continuous function 𝑓𝑥 with the following properties
As input values increase without bound, the output of 𝑓(𝑥) decreases without bound 
As input values decrease without bound, the output of 𝑓𝑥 increases without bound
𝑓𝑥 is decreasing with a decreasing rate of change on the interval −6,−2
𝑓−6=5 is a point of inflection
𝑥=−2 is the only zero of 𝑓𝑥
The rate of change of 𝑓𝑥 is −1 at every 𝑥-value in the interval 0,∞  
𝑓𝑥 does not have an absolute maximum