The critical points give us possibilities of
finding a max or min. The ends of the
interval (the endpoints), give us other
possibilities of finding a max or min.
Candidates for Absolute Extrema (on an interval)
1. Critical Points
2. Endpoints
1. Find the absolute maximum value and the absolute minimum value of the function
𝑓𝑥𝑥
3𝑥
1 on the interval
,4. Remember to show that you checked
ALL the candidates.
2. Looking at the graph of 𝑓
, we can identify relative
extrema at the 𝑥-intercepts. Can you find the 𝑥-
coordinate of the ABSOLUTE maximum and the
ABSOLUTE minimum?
5.5DetermineAbsoluteExtremafromCandidates
Write your questions
and thoughts here!
Calculus
Notes
𝑥
𝑦
x
y
𝒇
𝒙
