00:01
In this example, we're given a function.
00:03
Okay, my function f of x is defined as x plus three if negative two is greater, or sorry, less than or equal to x is less than one.
00:20
We have the function equal to eight if x equals one.
00:26
And we have the function equal to negative x plus two if x is greater than one.
00:38
First we want to find the domain of this function, d, this will be part a.
00:45
So the domain is the range of values that x can take.
00:49
Okay, so we see we can go from negative two to one.
00:55
So the range is some x is greater than or equal to negative 2.
01:02
Next we want to find the x and y intercepts of this function, if there are any.
01:08
So we want to find x zero and zero y.
01:16
So we can see that one x equals zero.
01:19
We'll be using this form for the function.
01:23
And that's going to give me 0, 3.
01:28
Okay, and then when y equals 0, okay, we know x has to equal 2.
01:37
And the last thing we want to do is draw what this graph looks like.
01:42
Okay, so here we go, x, y.
01:46
Each one of these boxes is going to be one.
01:49
Here's the origin.
01:50
Okay, so let's go back and look at that.
01:54
Function.
01:55
Okay, so x plus three, if x is negative two to one...