<h2>
Answer:</h2>
<h2>
Step-by-step explanation:</h2>
A piecewise-defined function is one that you define not by a single equation, but by two or more. From the figure, we know that this piecewise-defined function is defined by three equations, so our goal is to find each. Two of these equations are constant functions while the other equation is a linear function. So:
1. FOR THE FIRST CONSTANT FUNCTION:
Keep in mind that for this constant function at x = 2, it isn't defined, that's why we choose the symbol <
2. FOR THE LINEAR FUNCTION:
Keep in mind that for this linear function at x = 3, it isn't defined, that's why we use the symbol <
3. FOR THE SECOND CONSTANT FUNCTION:
Keep in mind that for this constant function at x = 3, it is defined, that's why we choose the symbol ≥
In conclusion, the function is: