1. ## Domain and range

Question: Find the domain and range of the following

1) $y=\sqrt{x^2+4}$
2) $y=\sqrt{9-x^2}$

Attempt:
1)
Domain : All real no.
Range: $y>= 2$

2)
Domain : $-3<=x<=3$
Range: $0<=x<=3$

2. Originally Posted by mj.alawami
Question: Find the domain and range of the following

1) $y=\sqrt{x^2+4}$
2) $y=\sqrt{9-x^2}$

Attempt:
1)
Domain : All real no.
Range: $y>= 2$

2)
Domain : $-3<=x<=3$
Range: $0<=x<=3$
Hi mj,

Looks good!

3. Originally Posted by mj.alawami
Question: Find the domain and range of the following

1) $y=\sqrt{x^2+4}$
2) $y=\sqrt{9-x^2}$

Attempt:
1)
Domain : All real no.
Range: $y>= 2$

2)
Domain : $-3<=x<=3$
Range: $0<=x<=3$
You mean, of course, $0\le y\le 3$.