00:01
So in this question, they say that below is the graph of a function f of x, and we want to identify all of the absolute and relative extrema.
00:09
Let's get our absolute extrema first.
00:14
First of all, what would my absolute maximum be? what is the largest y value on this function? well, i think my largest y value this time is y equals four, and that absolute maximum is occurring at the point where my x is equal to four as well.
00:40
So my absolute max is four when x equals four.
00:46
Now depending on how your teacher teaches it, they may have you write it as a point four comma four.
00:54
What about my absolute minimum? what is my smallest y value that i see anywhere on the graph.
01:06
My smallest y value looks like it's zero this time, and that absolute minimum, is occurring at the place when x equals 7.
01:19
So again, your teacher might prefer 7 comma 0.
01:25
Now, how about relative maxima? relative maxima are all of the peaks on my graph...