00:01
All right, we've been asked to compare f of x here, which is x squared, and g of x here, which is 2 to the x.
00:09
So we have a quadratic function and a power function.
00:11
All right, so let's go ahead and plug in some numbers.
00:14
We've been given zero as our first input.
00:18
So when we plug in 0, 0 squared is 0, and 2 to the 0 is 1.
00:28
Plug in a 1.
00:29
We get 1 squared as 1, and 2 to the 1 1 1 2 to the 1st is 2.
00:33
As to plug in a 2, so 2 squared is 4.
00:37
2 to the second power here is 4.
00:40
Then we need to plug in a 3, 3 squared is 9, 2 to the 3 power is 8.
00:48
If we plug in a 4, we're going to get 16, and 2 to the 4th power is 16.
00:55
Plug in then six.
00:58
We have 36.
01:00
2 to the 6 power is 64.
01:05
Then we want to plug in 8.
01:08
8 squared is 64.
01:10
And then we have 256 for 2 to the 8.
01:16
And then when we plug in at 10, we get 100.
01:19
And then we have 1 ,024 here for our 2 .4.
01:26
Our exponential here.
01:30
So when we look at this, what we can see here is at the beginning, g of x is larger, so this is bigger, and it stays bigger until it's equal here when we plug in a two...