Chapter 2: Q13E (page 115)
Question: Which function in exercise 12 is onto?
Answer:
Only the function in part a) and d)
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Use the identity and Exercise 35 to compute
Show that when you substitute for each occurrence of n and for each occurrence of m in the right-hand side of the formula for the function in Exercise 31 , you obtain a one-to-one polynomial function . It is an open question whether there is a one-to-one polynomial function .
a) Show that a partial function from A to B can be viewed as a function from A to B {u} , where u is not an element of B and
b) Using the construction in (a), find the function f* corresponding to each partial function in exercise 77.
Question: let where the domain is the set of real numbers. What is
Draw the graph of the function f (x) = [x] + [x/2] from R to R.
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