00:01
All right, so we are given a piecewise defined function and we want to select all of the true statements here.
00:09
So f of 5 is equal to 1.
00:12
So we want to find f of 5.
00:14
That means we are going to deal with the portion, the interval of the piecewise defined function for 5.
00:22
Well, when x is equal to 5, well, that is definitely greater than 1.
00:32
5 is greater than 1.
00:33
So that means we are going to be dealing with this portion of our piecewise defined function, okay? because we are dealing with f of 5.
00:41
So when x is equal to 5, that means it's greater than 1.
00:44
So we need to deal with that portion of the piecewise defined function.
00:47
So f of 5 would be equal to, we would input 5, it'd be equal to 5 squared, which is 25.
00:57
So that is definitely a false statement.
00:59
That is not true.
01:03
Next up we have f of 2 is equal to 4.
01:06
So once again, once again, we are going to be dealing with this portion of the graph because f of 2, x is equal to 2 is, well, that's definitely when x is greater than 1.
01:17
So i need to input f of 2 there.
01:21
So f of 2, f of 2 is going to be equal to, i'm going to input 2 for x and that's equal to 4.
01:30
F of 2 should be equal to 4.
01:32
Well, hey, that's a true statement.
01:34
Very good.
01:34
So we would definitely mark off that box...