Question

1. what is the range of this piecewise function?

Explanation:

Step1: Identify y - values

Observe the y - coordinates of the endpoints of the horizontal segments.

Step2: Determine range

The closed - circle endpoints are included and open - circle endpoints are not. The y - values range from the lowest closed - circle y - value to the highest closed - circle y - value.

Answer:

The range is a set of discrete values. If the y - values of the closed - circle endpoints from bottom to top are $y_1,y_2,y_3,y_4$, the range is $\{y_1,y_2,y_3,y_4\}$ (you need to determine the actual numerical values from the graph).