00:01
All right, so in our piecewise function, f, we have three parts.
00:05
With those three parts, we have different domains for which we'll use them.
00:12
So for the top piece, we'll only use if our input is less than or equal to negative one.
00:19
We're only going to use the middle piece if our input is between negative 1 and 1, not including negative 1, but including 1.
00:29
And we'll use the bottom piece if our inputs are bigger than one.
00:34
So when we want to find or evaluate f of negative 4, since negative 4 is less than or equal to negative 1, we're going to use the top piece.
00:47
And so it would be negative 4 squared plus 2 times negative 4, which is equal to negative 4 squared 16, plus 2 times negative 4 is negative 8.
01:09
So it would be plus negative 8.
01:11
16 plus negative 8 is 8.
01:13
So f of negative 4 is 8.
01:18
F of negative 3 halves.
01:25
Negative 3 halves is negative 1 .5.
01:28
That's less than or equal to negative 1 still.
01:30
So it would be negative 3 halves squared plus 2 times negative 3 halves.
01:47
All right...