Question

Write the range and domain of the function: a. f= {(1, a), (2, b), (3, c)}
b. g= {(x, 1), (y, 3), (z, 4)}
c. h = {(1,9), (5, 18), (10, 27)}​

Answer 1

Answer:

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Answer 2

Step-by-step explanation:

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}