To determine the range of the function represented by the given line segments, we need to analyze the y-values provided by the endpoints of the segments:
-
The first line segment connects an open point at (-7, -4) and a closed point at (-3, 3):
- The y-values covered by this segment range from just above -4 (due to the open point) to 3 (since the closed point at (-3, 3) includes this value).
-
The second line segment connects an open point at (-1, 3) and a closed point at (2, 8):
- The y-values covered by this segment range from just above 3 (due to the open point) to 8 (since the closed point at (2, 8) includes this value).
Putting this together, we can identify the following ranges:
- The first segment contributes the range (-4, 3].
- The second segment contributes the range (3, 8].
Therefore, the complete range of the function can be expressed as: (-4, 3] ∪ (3, 8].
Now, writing this in interval notation, the answer is:
left parenthesis negative 4 comma 3 right bracket union left parenthesis 3 comma 8 right bracket