Algebra-1

Let's analyze whether the graph is discrete or continuous.

This graph consists of five segments:

Segment 1: An upward sloping line from (−8, 0) to (−4, 6).

Segment 2: A horizontal line at y=6 from (−4, 6) to (1, 6).

Segment 3: A downward sloping line from (1, 6) to (5, −2).

Segment 4: A horizontal line at y = −2 from (5, −2) to (6, −2).

Segment 5: An upward sloping line from (6, −2) to (7, 0), where (7, 0) is an open (empty) endpoint.

Analyzing continuity:

Segment 1 to Segment 2: The transition from (−4, 6) to (1, 6) is smooth without any jumps or gaps. This e...