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Chapter 2: Q11E (page 153)

Which function in Exercise 10 are onto?

Short Answer

Expert verified

Only the function in part (a).

Step by step solution

01

Step: 1

a) f(a) = b, f(b) = a, f(c) = c, f(d) = b

b)f(a)= b, f(b)= b, f(c)= d, f(d)=c

c)f(a)= d, f(b)= b, f(c)= c, f(d)=d

Only the function in part (a).

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Most popular questions from this chapter

Question: Which function in exercise 12 is onto?

Draw the graph of the function f (x) = [x/2] from R to R.

Determine whether each of these functions is a bijection from R to R.

  1. fx=-3x+4
  2. fx=-3x2+7
  3. role="math" localid="1668414131444" f(x)=(x+1)/(x+2)
  4. role="math" localid="1668414147841" fx=x5+1

Question: Let f be a function from the set A to the set B. Let S and T be subsets of A. show that

a)f(S∪T)=f(S)∪f(T)b)f(S∩T)=f(S)∩f(T)

Question:

a. Give an example to show that the inclusion in part (b) in exercise 40 may be proper.

b.Show that if f is one-to-one, the inclusion in part(b) in exercise 40 is an equality.
See all solutions

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