relative (local) - x=c is a local min

if f(c) is lower than or equal to all points in its neighborhood

absolute (global)

x=c is an absolute max/min if f(c) is (larger/smaller) then /or equal to) all points in the domain

If x=c is a relative extreme, then, x=c is the critical number

False: if x=c is a critical number, then x=c is a relative extreme

*Extreme value: give the y-value or height

(1) we say that f(x) has an absolute (or global) maximum at x=c if f(x)-< f(c) for every x in the domain we are working on

(2) we say that f(x) has a relative (or local) maximum at x=c if f(x) -< f(c) for every x in some open interval around x=c

(3) We say that f(x) has an absolute (or global) minimum at x=c if f(x)->

## Comments

No comments have yet been made