00:01
All right, here we go.
00:01
So in this one, we're given this function, f of x, and it's x minus 4 squared.
00:06
And the question asks us to give both the domain and the range.
00:09
So remember, the domain is the list of all possible x values.
00:12
What are the values the x could be without sort of breaking math, right? so we need to make sure that whatever values of x we choose don't force us to divide by zero, for example.
00:23
They don't force us to take the squared of negative.
00:26
Here, i think we're good, though, because no matter what i pick for x, i'm going to square.
00:30
It.
00:30
So i can take x and square it.
00:32
That's no problem.
00:32
It'll give me a positive number.
00:34
So now i've got a positive number and i'm going to do four minus that.
00:37
So i think we're good.
00:38
I think any value of x is fine.
00:41
And the problem asks you to write your answer in interval notation.
00:44
So for us, i'm going to write x is in the set or in the interval.
00:49
Well, we can go from negative infinity up to positive infinity and there's no problems in there...