MATH135 Study Guide - Final Guide: Riemann Sum, Maxima And Minima, Antiderivative

• School: University of Waterloo
• Department: Mathematics
• Course: MATH135
• Professor: Mehrdad Kazerani

Document Summary

A functionf is a rule that assigns each element x in a set d exactly one element, called f (x), in a set e. A function f is called increasing on an interval i if x1 < x2 in i = f (x1) < f (x2). A function f is called decreasing on an interval i if x1 < x2 in i = f (x1) > f (x2). A function f is called a one to one function if it never takes on the same value twice; that is, x1 6= x2 = f (x1) 6= f (x2) Let f be a one-to-one function with domain a and range b. Then its inverse function f 1 has domain b and range a and is de ne by f 1(y) = x f (x) = y for any y in b. Suppose f (x) is de ned when x is near the number a.