MATH 100 Chapter Function Notation and notes on domain and range: Function Notation

• School: Simon Fraser University
• Department: Mathematics
• Course: MATH 100
• Professor: Kenneth Zirui Zhou

Document Summary

General definition of function: a rule that assigns to each element from one set exactly one element from another set. A function associates every number in some set of real numbers called the domain of the function, with another real number. Q1: suppose a function is defined by the formula f (x) = x2 for every real number x. Evaluate the following: f ( 3) = f ( h) = f (3 h) = Two functions are equal if and only if they have same domain and the same value at every number in that domain. Q2: both f and g have domain {3, 5}, with f defined on this domain by f (x) = x2 3, and g defined on this domain by g (x) = b x 18. Find b such that the function f equals the function g.