# function

## function

﻿FUNCTIONS

PAPER 1

1. Based on the above information , the relation between P and Q is defined by the set of ordered pairs {(1, 2), (1, 4), (2, 6), (2, 8)}. State
(a) the image of object 1,
(b) the object of 6. [2 marks]

(b) …………………………..
2. Given and , find
(a) g -1 (3),
(b) hg(x) [4 marks]

(b) …………………………..

3. Diagram 1 shows the relation of P to Q.

d   w
e   x
f   y
 z

DIAGRAM 1

State
(a) The range of the relation,
(b) The type of the relation. [2 marks]

Answer : (a) …………………………... b) …………………………..
4. Given function and , where m and k are constants find the value of m and k. [4 marks]

5. Given the function and the composite function , find
(a)
(b) The value of x when [4 marks]

(b) …………………………..

6. Diagram 2 shows that function h maps x onto y and function g maps y onto z.

DIAGRAM 2
Calculate
(a) h -1(5),
(b) gh(2). [2 marks]

(b) …………………………..

7. A function is defined as , x  2.
Find
(a) w -1(x),
(b) w -1(4). [4 marks]

(b) …………………………..

8. The information below defines the functions h and g.

Find gh -1(x). [4 marks]

9. In diagram 3, set B shows the images of certain elements of set A.

(a) State the type of relation between set A and set B.
(b) Using the function notation,write a relation between set A and set B.
[3 marks]