MATH 101 Study Guide - Midterm Guide: Vertical Limit, Inflection, Monotonic Function

• School: UBC
• Department: Mathematics
• Course: MATH 101
• Professor: Christopher Friedrichs

Document Summary

A function has an absolute maximum at a if f(a) f(x) for all x in the domain d of the function f. the number f(a) is called the maximum value of f on d. A function has an absolute minimum at b if f(b) f(x) for all x in the domain d of all the function f. the number f(b) is called the minimum value of f on d. The maximum values f(a) and f(b) are called the extreme values of f on d. A function has a relative maximum at c if there is an open interval i containing c such that f(c) f(x) for all x in i. A function has a relative minimum at d if there is an open interval i containing d such that f(d) f(x) for all x in i. **note: an open interval means the end points are not included.