00:01
As you draw the graph of exponential function by of fx equals a minus 4 to the x power and two other points and then first of all plot the horizontal asymptote and two other points and then state the domain and range.
00:19
So first of all, you can rearrange this into fx equals negative 4 to x power plus 8.
00:25
So the base is this part, fx equals negative 4 to the x power.
00:34
So for this one, the horizontal asymptote is y equals 0.
00:54
So why this means that when x increases, the y is approaching zero, but it never actually become zero.
01:03
So it's actually basically it never touched x -axis.
01:08
And since we have plus 8 right here, this means that the whole thing shift up by 8 on y.
01:22
So from there, you can see that since fx equals negative 4x has a horizontal asymptote of y equals 0, then fx equals negative 4 to x power plus 8, the horizontal asymptote is going to be 0 plus 8.
01:41
Which is y equals 8.
01:45
So now we determine that a horizontal asymptote is y equals 8.
01:50
Now let's actually decide a two point.
01:55
So let's say 0 .1, the x equals 0.
02:04
So then fx or f0 equals 4 to the 0 plus 0 plus 8.
02:17
So this equals negative 1 plus 8, which is 7.
02:26
This is 1 point, which is 0 ,7.
02:33
So let's pick a second point.
02:39
When x equals 1, f1 equals negative 4 to the 1th power plus 8, which is 4.
02:49
So the second point is 1 ,4.
02:52
All right, so now let's actually do the graph.
03:03
So first of all, you can see i have this y -equals -8...