00:01
So the first part of this question has me work with this function on the graph.
00:04
I want to find, the first question says, find the interval where the function's increasing.
00:09
So i want to look from left to right where my graph is going up.
00:13
So it starts going up here and it goes up and it ends going up right here.
00:19
So where it's increasing would be from negative 1.
00:29
So i'm only looking at my x values.
00:31
So at negative 1x to 0x, it increases.
00:37
It's the only part where it's increasing.
00:39
So now i want to do the same thing, but i want to find out where it decreases.
00:44
So it's decreasing.
00:46
It starts here.
00:47
Again, i'm looking at my x.
00:49
So that's going to be negative 2.
00:54
And it stops decreasing at negative 1.
01:00
And then from 0 to here, which is at 1, it decreases.
01:12
Again.
01:14
Now, the next question says, find the relative min.
01:17
So my relative min is the point of my graph where it changes direction, but it's the lowest point around all the other points.
01:26
It has to change direction, so it has to go from down to up.
01:30
So this would be my relative min.
01:33
And that coordinate to coordinate, the spot, would be negative 1 .1.
01:39
Now, this would not be a min because it doesn't change direction.
01:43
It just goes down, it doesn't change to back up.
01:47
Now i want to find my relative max.
01:50
Same concept, but now we're looking for the highest point.
01:53
So this would not be a relative max because it didn't go up than down.
01:58
The only point that goes up and down that makes like a hill is at 2 or 0 2...