00:01
Okay, if we're getting asked to graph the equation, y equals 2 times 3 to the x, i want you to remember that the 3 is our base.
00:12
It's our multiplier.
00:13
And it's telling us how big this exponential is growing or decaying.
00:18
Since it's bigger than 1, it's going to be growth.
00:21
And we know that these growth graphs traditionally look like so.
00:25
And they usually go through 0 .1.
00:28
Except that this number is not a one, it's a two.
00:33
So we know our initial value is at 02.
00:35
So i'm going to go ahead and graph 02 right off the bat.
00:39
I know the general shape.
00:41
And then you can do anything from transformations to making a table, which sometimes people forget about.
00:47
It's a nice, easy way if you're stuck, because you can always plug in points.
00:51
So let's just go ahead and plug in negative 1.
00:53
I already have 0 and 1.
00:54
0 gives me 2.
00:56
Let's plug into the equation.
00:58
Negative 1 for my x value, that's 3 to the negative 1 or 1 third.
01:02
And when you multiply it by 2, that's 2 thirds...