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3 years ago

Study the function below and then answer the questions that follow.

Mathematics

2 answers:

Licemer1 [7]3 years ago

4 0

Answer:

Domain: all real values of x except -2

Range: y > -4

Step-by-step explanation:

Domain: union of all intervals of x

x < -2 U -2 < x < 0 U x》0

This includes all real values of x except x = -2

When x < -2

-x - 2 > 0

When -2 < x < 0

-4 < -x² < 0

When x》0

x》0

Range is the union of all these outputs

y > 0 U -4 < y < 0 U y》0

y > -4

NeX [460]3 years ago

3 0

Answers and Step-by-step explanations:

Notice that -2 is not included in the inequality, but any other number is. That means that the domain is all real numbers except x = -2.

For the range, I recommend you draw a graph (see the attachment).

As can be seen, the range will be y > -4.

Hope this helps!

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