What is the domain and range of
y²/9-x²/25=1?

Question

What is the domain and range of
y²/9-x²/25=1?

anonymous · Answer

oh I see now, I drew a blank thanks a lot for your help

anonymous · Answer

wait that isn't one of the answer choices

lasttccasey · Answer

sorry I didn't see the negative, that makes it a hyperbola. in that case it looks like the picture attached. Give me a second on the domain and range for that.

anonymous · Answer

ok

lasttccasey · Answer

Domain will be all real numbers
Range will be (-∞,-3] U [3,∞)

anonymous · Answer

how did you come up with that?

lasttccasey · Answer

Well referencing the picture, the domain (or x axis) will be all real numbers because it spans infinitely along that axis. The range is the more difficult part, there is a gap in the middle that is not included in the range which is the area between 3 and -3 on the y axis so the parameters for the range are ( -∞ to -3 ] U [ 3 to ∞ ). Where the 'U' essentially means skip over anything less than 3 but greater than -3.

anonymous · Answer

ok thanks so much

lasttccasey · Answer

Your welcome