Overview
1) a) What is the difference between a relation and a function? b) Give an example of a relation that is a function. Write the domain and range c) Give an example of a relation that is not a function. Write the domain and range 2) a) When is a relation R called an equivalence relation? (Page 230 from the textbook) b) Prove that aRb if and only if ๐= 2๐๐ for some integer k, is an equivalence relation (Hint: Prove the three properties listed in part a)
3) Let ๐(๐ฅ) = 2๐ฅ+ 1 ๐ฅโ1 a) What is the domain of f? b) Find f(-2), f(0), f(10), f(1000), f(10,000) c) Based on part b, what do you think is happening to the values of f(x) as x gets larger and larger?