Final answer:
The piecewise function y = { x + 3 if x < 0 { 2x if x ≥ 0 can be represented by the graph in option (b).
Step-by-step explanation:
The piecewise function y = { x + 3 if x < 0 { 2x if x ≥ 0 can be represented by the graph in option (b). In this graph, the function has a nonzero y-intercept with an upward slope that decreases in magnitude until the curve levels off at zero. Part A of option (b) represents the first part of the function, where x < 0, and Part B represents the second part of the function, where x ≥ 0.