- Submitted By: 琳娜-艾
- Date Submitted: 02/03/2015 6:02 AM
- Category: Miscellaneous
- Words: 426
- Page: 2

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]

Answer : (a) …………………………...

(b) …………………………..

2. Given and , find

(a) g -1 (3),

(b) hg(x) [4 marks]

Answer : (a) …………………………...

(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]

Answer : …………………………...

5. Given the function and the composite function , find

(a)

(b) The value of x when [4 marks]

Answer : (a) …………………………...

(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]

Answer : (a) …………………………...

(b) …………………………..

7. A function is defined as , x 2.

Find

(a) w -1(x),

(b) w -1(4). [4 marks]

Answer : (a) …………………………...

(b) …………………………..

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

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

Answer: ………………………….......

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]

Answer : (a)...