**Question 1:**

Diagram below shows the relation between set

*M*and set

*N*in the graph form.

State

(a) the range of the relation,

(b) the type of the relation between set

*M*and set

*N*.

**(a) Range of the relation = {**

*Solution*:*p*,

*r*,

*s*}.

**(b) Type of the relation between set**

*M*and set

*N*is many to one relation.

**Question 2:**

Diagram below shows the relation between set

*P*and set

*Q.*

State

(a) the object of 3,

(b) the range of the relation.

**(a) The object of 3 is 7.**

*Solution*:(b) The range of the relation is {–3, –1, 1, 3}.

**Question 3:**

Diagram below shows the function

*g*:

*x*→

*x*– 2

*k*, where

*k*is a constant.

Find the value of

*k*.

*Solution*:$\begin{array}{l}\text{Given}g\left(6\right)=12\\ \text{}g\left(6\right)=6-2k\\ \text{12}=6-2k\\ \text{2}k=6-12\\ \text{}k=-3\end{array}$

**Question 4:**

Diagram below shows the relation between set

*M*and set

*N*in the arrow diagram.

(a) Represent the relation in the form of ordered pairs

*.*

(b) State the domain of the relation.

**(a) Relation in the form of ordered pairs = {(–4, 8), (3, 3), (4, 8)}.**

*Solution*:(b) Domain of the relation = {–4, 3, 4}.