Based on the graph provided, the domain of the part shown is represented by the inequality -8 ≤ x ≤ 9.
To determine the domain of the linear function, we look at the x-values on the graph. The part shown on the graph starts at x = -8 and ends at x = 9. In interval notation, we can represent this as -8 ≤ x ≤ 9.
In this inequality, the symbol "≤" is used because the points on the graph include the endpoints -8 and 9. If the graph did not include the endpoints, we would use the symbol "<" instead.
Therefore, the inequality -8 ≤ x ≤ 9 best represents the domain of the part shown on the graph.