00:01
This problem is asking me to find the absolute maximum and minimum values of the function x to the fourth minus 18x squared plus 3 over the interval from negative 5 to 5.
00:16
Okay, i graphed it in my calculator and it looks something like this.
00:35
Alright, now the fact that these go on and on forever tells me that there is no absolute maximum.
00:41
But, if i cut it off the window to be from negative 5 to positive 5, then yes, there is an absolute maximum.
00:52
It happens where it intersects the graph.
00:57
So, to find the absolute maximum, all i did was substitute negative 5 and positive 5 into the function and i got, let me see what i got, 178 both times.
01:21
So, i know that it has an absolute maximum of 178 and it occurs at negative 5 and positive 5.
01:42
Now, the minimums is this lowest point right here and here.
01:48
And you can calculate that in your calculator by going to the calculate screen, which you will find that at second trace.
01:59
And you will see number 3 says minimum.
02:03
So, you punch that and then it doesn't just automatically give it to you...