Use the image to answer the question.

A coordinate plane shows both the axes ranging from negative 12 to 12 in increments of 1. Two points are plotted on the graph and connected with a line. A line connects an open point at left parenthesis negative 5 comma negative 4 right parenthesis, and a closed point at left parenthesis 8 comma 2 right parenthesis.

Describe the domain of the linear function on the graph.

(1 point)
Responses

−5<x≤8
negative 5 less than x less-than-or-equal-to 8

−5≤x<8
negative 5 less-than-or-equal-to x less than 8

−5≤x≤8
negative 5 less-than-or-equal-to x less-than-or-equal-to 8

8≤x<−5

1 answer

The domain of the linear function described in the graph with an open point at (−5, −4) and a closed point at (8, 2) indicates that x can take values starting from just above −5 up to and including 8.

Thus, the correct description of the domain is:

−5 < x ≤ 8

This means x is greater than -5 and less than or equal to 8.

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