Question

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-or-equal-to x less than 8

−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-or-equal-to 8

8≤x<−5
8 less-than-or-equal-to x less than negative 5
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Answer 1

To describe the domain of the linear function represented on the graph, we need to consider the x-coordinates of the points plotted. The open point at \((-5, -4)\) indicates that the value \(-5\) is not included in the domain, while the closed point at \((8, 2)\) indicates that the value \(8\) is included.

Thus, the domain can be expressed as:

\[
-5 < x \leq 8
\]

This corresponds to the option:

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