Question

if A = { 1,2,3,4} and B = {x,y,z} and R is defined from A to B as follows R = {(1,x), (1,z), (3,x), (4,y)} find the damain and range of R​

Answer 1

Answer:

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Answer 2

Answer:

Since every subset of A×B is a relation from A to B, therefore, R is also a relation

from A to B.

Domain of R={1,2,3}Range of R ={x,y,z}

Arrow diagram of R in the tabular form, we construct a box with the help of {n(A)+2} horizontal lines and {n(B)+2} vertical lines. In this case, we draw 6 horizontal lines and 5 vertical lines to get 20 boxes {n(A)+1}×{n(B)+1} in general). Place R in the extreme left top and elements of A below R in a vertical line. Write elements of B in the first horizontal line as shown.

As (1,x)∈R, place 1 in the row containing x. As (1,z)∈

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R, place 0 on the row containing 1 and column containing z. Complete the table corresponding to other pairs also. Here, we use the convention that if (a,b)∈R, we write '1' in the row containing a and column containing b and if (a,b)∈

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R, we write '0' in the corresponding box.

Step-by-step explanation:

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