知识

DEFINITION 1 Function

DEFINITION 2 Domain Codomain Image Preimage

DEFINITION 3

DEFINITION 4

EXAMPLE 7

DEFINITION 5 One-to-One

DEFINITION 6 Increasing Strictly increasing Decreasing Strictly decreasing

EXERCISE 26

EXERCISE 27

DEFINITION 7 Onto

DEFINITION 8 Bijection

EXAMPLE 16

EXAMPLE 16 Solution

FIGURE 5 Examples of Different Types of Correspondences

DEFINITION 9 Inverse

FIGURE 6 The Function Is the Inverse of Function f

DEFINITION 10 Composition

FIGURE 7 The Composition of the Function f and g

EXAMPLE 23

EXAMPLE 23 Solution

EXAMPLE 23 Remark

DEFINITION 11 Graph

DEFINITION 12 Floor function Ceiling function

FIGURE 10 Graphs of the (a) Floor and (b) Ceiling Functions

TABLE 1 Useful Properties of the Floor and Ceiling Functions

DEFINITION 13 Partial function

EXAMPLE 32

练习

10 Determine whether f is one-to-one

12 Determine whether f is one-to-one

14 Determine whether f is onto

20 Give an example

参考答案

知识

DEFINITION 1 Function

DEFINITION 2 Domain Codomain Image Preimage

DEFINITION 3

DEFINITION 4

EXAMPLE 7

DEFINITION 5 One-to-One

DEFINITION 6 Increasing Strictly increasing Decreasing Strictly decreasing

EXERCISE 26

EXERCISE 27

DEFINITION 7 Onto

DEFINITION 8 Bijection

EXAMPLE 16

EXAMPLE 16 Solution

FIGURE 5 Examples of Different Types of Correspondences

DEFINITION 9 Inverse

FIGURE 6 The Function Is the Inverse of Function f

DEFINITION 10 Composition

FIGURE 7 The Composition of the Function f and g

EXAMPLE 23

EXAMPLE 23 Solution

EXAMPLE 23 Remark

DEFINITION 11 Graph

DEFINITION 12 Floor function Ceiling function

FIGURE 10 Graphs of the (a) Floor and (b) Ceiling Functions

TABLE 1 Useful Properties of the Floor and Ceiling Functions

DEFINITION 13 Partial function

EXAMPLE 32

练习

10 Determine whether f is one-to-one

12 Determine whether f is one-to-one

14 Determine whether f is onto

20 Give an example

22

24

30

34

35

36

42

44

70

参考答案

10

12

14

20

22

24

30

34

35

36

42

44

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离散数学 2.3 Functions

知识

DEFINITION 1 Function

DEFINITION 2 Domain Codomain Image Preimage

DEFINITION 3

DEFINITION 4

EXAMPLE 7

DEFINITION 5 One-to-One

DEFINITION 6 Increasing Strictly increasing Decreasing Strictly decreasing

EXERCISE 26

EXERCISE 27

DEFINITION 7 Onto

DEFINITION 8 Bijection

EXAMPLE 16

EXAMPLE 16 Solution

FIGURE 5 Examples of Different Types of Correspondences

DEFINITION 9 Inverse

FIGURE 6 The Function Is the Inverse of Function f

DEFINITION 10 Composition

FIGURE 7 The Composition of the Function f and g

EXAMPLE 23

EXAMPLE 23 Solution

EXAMPLE 23 Remark

DEFINITION 11 Graph

DEFINITION 12 Floor function Ceiling function

FIGURE 10 Graphs of the (a) Floor and (b) Ceiling Functions

TABLE 1 Useful Properties of the Floor and Ceiling Functions

DEFINITION 13 Partial function

EXAMPLE 32

练习

10 Determine whether f is one-to-one

12 Determine whether f is one-to-one

14 Determine whether f is onto

20 Give an example

22

24

30

34

35

36

42

44

70

参考答案

10

12

14

20

22

24

30

34

35

36

42

44

70

离散数学 2.3 Functions相关推荐

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