Answers:
Domain: [tex]-4 < x \le 4[/tex]
Range: [tex]-2 \le y < 5[/tex]
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Explanation:
The domain is the set of allowed x values.
The left-most point on this graph is at (-4,5). This means x > -4 or -4 < x. The open hole indicates we don't include x = -4 as part of the domain.
The right most point is at (4,-2). So [tex]x \le 4[/tex]
Combine [tex]-4 < x[/tex] and [tex]x \le 4[/tex] together to get the domain [tex]-4 < x \le 4[/tex]
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The range is the set of possible y values.
The range spans from -2 to 5, including -2 but excluding 5. This is because the smallest y value possible is y = -2, and the upper bound for the y values is y < 5 due to the open hole.
Therefore the range is the compound inequality [tex]-2 \le y < 5[/tex]
