


Examples
Example 2
Example 3
Example 4 Important
Example 5
Example 6 Important
Example 7
Example 8 Important
Example 9
Example 10
Example 11 Important
Example 12 Important
Example 13 Important
Example 14 Important You are here
Example 15 Deleted for CBSE Board 2022 Exams
Example 16 Deleted for CBSE Board 2022 Exams
Example 17 Deleted for CBSE Board 2022 Exams
Example 18 Important Deleted for CBSE Board 2022 Exams
Example 19 Important Deleted for CBSE Board 2022 Exams
Example 20 Deleted for CBSE Board 2022 Exams
Example 21 Deleted for CBSE Board 2022 Exams
Example 22 Deleted for CBSE Board 2022 Exams
Example 23 Important Deleted for CBSE Board 2022 Exams
Example 24 Deleted for CBSE Board 2022 Exams
Example 25 Important Deleted for CBSE Board 2022 Exams
Example 26 Deleted for CBSE Board 2022 Exams
Example 27 Important Deleted for CBSE Board 2022 Exams
Example 28 (a) Deleted for CBSE Board 2022 Exams
Example 28 (b) Deleted for CBSE Board 2022 Exams
Example 28 (c) Deleted for CBSE Board 2022 Exams
Example 29 Deleted for CBSE Board 2022 Exams
Example 30 Deleted for CBSE Board 2022 Exams
Example 31 Important Deleted for CBSE Board 2022 Exams
Example 32 Deleted for CBSE Board 2022 Exams
Example 33 Deleted for CBSE Board 2022 Exams
Example 34 Deleted for CBSE Board 2022 Exams
Example 35 Deleted for CBSE Board 2022 Exams
Example 36 Deleted for CBSE Board 2022 Exams
Example 37 Important Deleted for CBSE Board 2022 Exams
Example 38 Deleted for CBSE Board 2022 Exams
Example 39 Deleted for CBSE Board 2022 Exams
Example 40 Deleted for CBSE Board 2022 Exams
Example 41
Example 42 Important
Example 43 Important
Example 44
Example 45 (a) Deleted for CBSE Board 2022 Exams
Example 45 (b) Deleted for CBSE Board 2022 Exams
Example 46 Important Deleted for CBSE Board 2022 Exams
Example 47 Important Deleted for CBSE Board 2022 Exams
Example 48 Important Deleted for CBSE Board 2022 Exams
Example 49 Deleted for CBSE Board 2022 Exams
Example 50
Example 51 Important
Last updated at Jan. 28, 2020 by Teachoo
Example 14 (Method 1) Show that an one-one function f : {1, 2, 3} → {1, 2, 3} must be onto. Since f is one-one Hence every element 1,2,3 has either of image 1,2,3 and that image is unique Note that in each case, every image has a corresponding element Hence, one-one function f : {1, 2, 3} → {1, 2, 3} is onto. Example 14 (Method 2) Show that an one-one function f : {1, 2, 3} → {1, 2, 3} must be onto. Suppose f is not onto, So, atleast one image will not have a pre=image Let 3 not have a pre-image Then, Suppose 1 has image 1, & 2 has image 2, & let 3 have image 2 But 2 & 3 have the same image 2, Hence, f is not one-one. But, given that f is one-one, So, f must be onto