00:01
Here we're given a function f of x, which is equal to 3 minus the log of base 2 of x plus 5.
00:10
So to graph this, i'm going to start off by looking at an asymptote.
00:15
If x is equal to negative 5, we have an asymptote because it just can't ever actually equal to 0.
00:21
But from there, i'm not sure exactly what this thing looks like.
00:25
It does look like it's a log, which is going to look something like this, but it's a negative log, which means it's going to be flipped, so it's going to look something like this.
00:34
So if i'm going to make just a very, very rough guess, i'm going to say that it's going to look something like this.
00:41
But let's plot some points so we can get a better guess.
00:46
So i'm just going to choose some x and y values.
00:49
Now we have to be very careful because we can only choose values for x that are powers of two.
00:54
Otherwise, we don't know what log base 2 of it is.
00:56
So let's make the inside equal to 1 because lot base 2 of that is 0.
01:02
Yeah, is 0.
01:03
So let's make x equal to negative 4 because that would make y 3 because we'd have 3 minus 0...