Study the function below and then answer the questions that follow.
2 answers:
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
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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