Page 34 - Mathematics_Form_3

Relations

8. Write the inverse of each of the (a) ↦ + 4, domain: {6, 7, 8, 9}.
following relations:
(b) x ↦ x , domain:
2
( a ) R = {(a, b ), (a, c ), (a, d)} .
 1 1 
1,

(b) R = {(a, e ), (b, f ), (c, g ),  −− 2 , 0, 2 , 1 .
FOR ONLINE READING ONLY
(d, h)}.  
11. Find the relation R which is
(c) R = {(apple, banana), (cherry,
described by each of the following
banana), (mango, grape)}
shaded regions:
9. Draw the graphs of the inverses of (a)
each of the following relations: y
8
(a)
7
y
6 x+y=7
5 5 y=x
4 4
x=0
3 3
2 2
1
1
x -1 0 1 2 3 4 5 6 7 8 x
-2 -1 0 1 2 3 4 5 6 -1
-1
-2
-2

(b) (b)

y y
5 7
y=x+2
6
4
5 x+y=6
3
4
2
3
1
2 Mathematics for Secondary Schools
-2 -1 0 1 2 3 4 5 6 x 1
-1
-3 -2 -1 0 1 2 3 4 5 6 7 x
-2 -1
-2

10. For each of the given relations,
write down its inverse and the range
of the inverse relation:

Student\s Book Form Three 27

18/09/2025 09:58:47
MATHEMATIC F3 SB.indd 27 18/09/2025 09:58:47
MATHEMATIC F3 SB.indd 27