Question

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

Answer 1

Answer: domain - -4

Range- -2

Step-by-step explanation:

Answer 2

Answers:

Domain:
`-4 < x \le 4`

Range:
`-2 \le y < 5`

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Step-by-step 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
`x \le 4`

Combine
`-4 < x` and
`x \le 4` together to get the domain
`-4 < x \le 4`

----------------------

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
`-2 \le y < 5`