00:01
Okay, so your domain is your x values.
00:05
And as you can see that as you go up, your values are slowly extending outward.
00:15
So your domain is negative infinity to infinity.
00:19
Because of that, i can stop at the rest of them because none of the other ones have a domain from negative infinity to infinity.
00:25
But the range is your y values.
00:27
So my y values start right here at 1.
00:30
Two, three, four.
00:32
So they start at negative four and they go to infinity.
00:36
And it's a bracket because it's actually equal to it.
00:39
So that's why that's the range.
00:42
So the next one would, what would not be in the domain? so which one of these would make square root x plus four less than zero? so if i plug in zero, so zero plus four is four and i can do the square root of four, so that's fine.
01:03
So, zero is right.
01:05
Five plus four gives me square root in nine.
01:09
That works.
01:11
Negative three, so negative three plus four gives me a positive one.
01:16
So square root of one, that one works.
01:18
It's one.
01:18
All right.
01:19
Now, negative eight, negative eight plus four gives me the square root of negative four, which is imaginary, and that is not part of my graph.
01:29
So this would make would not be in the domain.
01:34
Which of the following would not be part of the domain.
01:37
So we need to know which one for your denominator, x plus three, cannot equal zero.
01:44
So x cannot be equal to negative three.
01:48
So negative three is your excluded value...