KUP Relation Worksheet
Description
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 = 2 for some integer k, is an equivalence relation (Hint: Prove the three
properties listed in part a)
3) Let ( ) = 2 + 1
―1
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?
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