00:01
So in this problem, we're given the graph of a function, and the first thing that we're being asked to do is to find the domain as well as the range.
00:08
Well, remember, the domain represents all of our x values that are possible here.
00:12
Well, the best way from a graph is to figure out for your domain, where's this graph not continuous? well, we have these two different vertical asymptopes.
00:20
Often than that, this graph is continuous everywhere else.
00:23
Well, our vertical asymptopes happen when x is negative 3 and positive 3.
00:27
But besides that, all the upper values of x are in the domain.
00:30
So the way that we'll say that is that it's all real numbers, except x cannot equal to negative 3 or positive 3.
00:38
All right.
00:39
So now we also have to find the range.
00:41
Well, the range is the y values.
00:43
So anytime you're reading your range, you want to read from the ground from the bottom up.
00:47
So notice, these graphs are going down to negative infinity.
00:50
So we're starting at negative infinity and we're increasing up until we get to this horizontal acetote, which occurs when x is when y is equal to negative 3.
00:58
So that's going to be the first part of our range, where you're going to go to the negative infinity.
01:01
From negative infinity up until negative 3, just not including negative 3.
01:05
Well, then the graph jumps and starts again at negative 2, and then notice these values are going to keep increasing forever and ever.
01:12
So our range will also include values starting at negative 2, but negative 2's included, to positive infinity.
01:19
So that's the answer to the part a.
01:21
Now, the answer to the part b is the intercept.
01:24
Well, let's start with our y intercept.
01:26
That's where the graph crosses the y -axis.
01:28
Well, it looks like our graph hits the y -axis when y is negative 2...