Complete the inequality below to describe the domain of the graph shown.
Domain:
DONE
Complete the inequality below to describe the
range of the graph shown.
Range:
Sy <5
-5
or
DONE

Domain:  

Range:  

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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

Combine and together to get the domain

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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