1
Q
Absolute maximum value
A
which is when f(c) is the largest value that f attains across the entire domain.
textbook:
absolute maximum value of f on D if f(c) ≥ f(x) for all x in D
D = domain
2
Q
Absolute minimum value
A
which is when f(c) is the smallest value that f attains across the entire domain.
absolute minimum value of f on D if
f(c) ≤ f(x) for all x in D
D = domain
3
Q
local maximum value
A
of f if f(c) ≥ f(x) when x is near c
4
Q
local minimum value
A
of f if f(c) ≤ f(x) when x is near c
5
Q
Extreme Value theorem
A
If f is continuous on a closed interval [a,b], then f has an absolute maximum value f(c) and an absolute minimum value f(d) at some numbers c and d in [a,b]
