Question

What is the domain and range of the relation shown in the table?

x y
10 5
15 9
19 −1
32 5



domain: x∈R

range: {−1, 5, 9}

domain: {10, 15, 19, 32}
range: y

domain: {−1, 5, 9}
range: {10, 15, 19, 32}

domain: {10, 15, 19, 32}
range: {−1, 5, 9}

Answer 1

domain: {10,15,19,32}

range:{5,9,-1}

Explanation:

• As we know domain is the values of input and range is the values of output.

• Here , x is the input and y is the output.

• 
  `\left[\begin{array}{cc}x&y\\10&5\\15&9\\19&-1\\32&5\end{array}\right]`

• Thus the input values according to the given problem is : 10 ,15 , 19, and thus ,

⇒The domain would accordingly be these four numbers : 10 , 15 , 19 , 32.

• Note that we donot have any information regarding the other values of x.

• The range is : { 5,9,-1 } only as the 5 is repeated in two cases .

• Range is unique and there must be not repetition. Thus the apt answer would be :

domain: {10,15,19,32}

range:{5,9,-1}