Chapter 2: Q13E (page 153)
Which function in exercise 12 is onto?
Only the function in part a) and d)
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Suppose that f is a function from A to B, where A and B are finite sets with |A| = |B|. Show that f is one-to-one if and only if it is onto.
Draw the graph of these functions.
Consider these functions from the set of students in a discrete mathematics class. Under what conditions is the function one-to-one if it assigns to a student his or her
a) define , the cardinality of the set S.
b) Give a formula for , where A and B are sets.
Question: a) Prove that a strictly decreasing function from R to itself is one-to-one.
b) Give an example of a decreasing function from R to itself is not one-to-one.
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