Question

If (2,3,5) is the domain of the relation f=(x,y) , 2x=y , find its range​

Answer 1

Answer:

Step-by-step explanation:

Solution

R={(x,x+5):x∈{0,1,2,3,4,5}}

⇒R={(0,5),(1,6),(2,7),(3,8),(4,9),(5,10)}

∴ Domain of R={0,1,2,3,4,5}

Range of R={5,6,7,8,9,10}

Answer 2

Answer:

In domain and range of a relation, if R be a relation from set A to set B, then

• The set of all first components of the ordered pairs belonging to R is called the domain of R.

Thus, Dom(R) = {a ∈ A: (a, b) ∈ R for some b ∈ B}.

• The set of all second components of the ordered pairs belonging to R is called the range of R.

Thus, range of R = {b ∈ B: (a, b) ∈R for some a ∈ A}.

Therefore, Domain (R) = {a : (a, b) ∈ R} and Range (R) = {b : (a, b) ∈ R}