Answer:
f(x)= { 1 if x≤-2
x2 if -2<x≤0
ln(x) if x>0
Explanation:
The first part of the graph (from left to right) is a constant funcion. Since there isn't any pendant, the y value is constant at y=1. This remains this way until x≤-2 (because the value at x=-2 is filled in on the line and blanked out on the curve above)
The second part of the graph, between x>-2 & x=0, is a cuadratic formula.
Finally, the last part of the graph corresponds to the formula ln(x), which is only valid for x>0.