00:01
Draw a rough sketch of the function without using a calculator.
00:04
Just give the graphs given and use the transformations.
00:07
So i'm going to start with e to the x.
00:10
So when i get e to the x, i know it's going to go through the point 01, and 1 is going to go through the point e.
00:17
So that's going to be right about here at 2.
00:19
Something.
00:20
And then negative 1 is going to be right here at 1 half.
00:23
So this is going to be the graph of e to the x.
00:26
Now what we want to do is the transformations.
00:28
We want to take care of the negative and we want to take care of the one half and we want to take care of the one.
00:40
I like to do that by looking at the actual ordered pairs.
00:43
So i'm going to look at the actual ordered pairs for this for our e to the x.
00:48
And that's going to be negative one.
00:50
We're going to have one over e.
00:52
And we're going to have zero.
00:53
We've won.
00:54
And then we're going to have one with equal to e.
00:56
Now remember, that's just our e to the x graph.
01:00
E to the x.
01:01
So what's going to happen if we have e to the negative x? well, that means that our x values are going to go change from positive to negative...