To determine which function could generate the graph, let’s analyze the pieces of each function provided. We’ll examine the conditions for each interval and whether the output values match the points and behavior of the graph:

1. Observation of the Graph:

   • For $x < 3$, the graph shows a curve that starts at a low point and increases until $x = 3$.
   • Between $3 \leq x < 6$, the graph remains roughly flat or decreases and then stabilizes.
   • For $x \geq 6$, there’s a noticeable linear increase.

2. Examination of Answer Choices:

   • We need a function that represents an increasing curve for $x < 3$, a stable or decreasing function for $3 \leq x < 6$, and a linear increase for $x \geq 6$.

Checking Option 1: