Functions 15 2 CS708 1 Functions 15 2

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Functions – (15 - 2) CS-708 1

Functions – (15 - 2) CS-708 1

Functions – (15 – 2 a) CS-708 2

Functions – (15 – 2 a) CS-708 2

Example – (15 - 3) CS-708 3

Example – (15 - 3) CS-708 3

Solution – (15 – 3 a) CS-708 4

Solution – (15 – 3 a) CS-708 4

Solution – (15 – 3 b) CS-708 5

Solution – (15 – 3 b) CS-708 5

Solution – (15 – 3 c) CS-708 6

Solution – (15 – 3 c) CS-708 6

Function – (15 - 5) CS-708 7

Function – (15 - 5) CS-708 7

Remarks – (15 – 5 a) CS-708 8

Remarks – (15 – 5 a) CS-708 8

Arrow Diagram of a Function – (15 6) CS-708 9

Arrow Diagram of a Function – (15 6) CS-708 9

Example – (15 – 6 a) CS-708 10

Example – (15 – 6 a) CS-708 10

Example – (15 – 6 b) CS-708 11

Example – (15 – 6 b) CS-708 11

Nonfunction – (15 - 7) CS-708 12

Nonfunction – (15 - 7) CS-708 12

Range of a Function – (15 - 8) CS-708 13

Range of a Function – (15 - 8) CS-708 13

Remarks – (15 – 8 a) CS-708 14

Remarks – (15 – 8 a) CS-708 14

Exercise – (15 - 9) CS-708 15

Exercise – (15 - 9) CS-708 15

Exercise – (15 – 9 a) CS-708 16

Exercise – (15 – 9 a) CS-708 16

Solution – (15 – 9 b) CS-708 17

Solution – (15 – 9 b) CS-708 17

Graph of a Function – (11 - 11) CS-708 18

Graph of a Function – (11 - 11) CS-708 18

Graph of a Function – (15 – 11 a) CS-708 19

Graph of a Function – (15 – 11 a) CS-708 19

Graph of a Function – (15 – 11 b) CS-708 20

Graph of a Function – (15 – 11 b) CS-708 20

Vertical Line Test – (15 - 12) CS-708 21

Vertical Line Test – (15 - 12) CS-708 21

Example – (15 - 13) CS-708 22

Example – (15 - 13) CS-708 22

Solution – (15 – 13 a) CS-708 23

Solution – (15 – 13 a) CS-708 23

Solution – (15 – 13 b) CS-708 24

Solution – (15 – 13 b) CS-708 24

Exercise – (15 - 15) CS-708 25

Exercise – (15 - 15) CS-708 25

Exercise – (15 – 15 a) CS-708 26

Exercise – (15 – 15 a) CS-708 26

Exercise – (15 – 15 b) CS-708 27

Exercise – (15 – 15 b) CS-708 27

Exercise – (15 - 17) CS-708 28

Exercise – (15 - 17) CS-708 28

Exercise – (15 – 17 a) CS-708 29

Exercise – (15 – 17 a) CS-708 29

Exercise – (15 – 17 b) CS-708 30

Exercise – (15 – 17 b) CS-708 30

Exercise – (15 - 18) CS-708 31

Exercise – (15 - 18) CS-708 31

Solution – (15 – 18 a) CS-708 32

Solution – (15 – 18 a) CS-708 32

Functions Not Well Defined – (15 20) CS-708 33

Functions Not Well Defined – (15 20) CS-708 33

Solution – (15 – 20 a) CS-708 34

Solution – (15 – 20 a) CS-708 34

Solution – (15 – 20 b) CS-708 35

Solution – (15 – 20 b) CS-708 35

Exercise – (15 - 21) CS-708 36

Exercise – (15 - 21) CS-708 36

Solution – (15 – 21 a) CS-708 37

Solution – (15 – 21 a) CS-708 37

Solution – (15 - 22) CS-708 38

Solution – (15 - 22) CS-708 38

Binary Operations – (15 - 28) CS-708 39

Binary Operations – (15 - 28) CS-708 39

Example – (15 – 28 a) CS-708 40

Example – (15 – 28 a) CS-708 40