Question

Write the relation in the Roster form and hence find its domain and range.
i) R₁ = {(a, a²) / a is prime number less than 15}
ii) R₂ = {(a, 1/a) / 0 < a < 5, a ∈ N}

Answer 1

Answer:

i)Domain of R₁ = { 2, 3, 5, 7, 11, 13}

Range of R₁ = {4, 9, 25, 49, 121, 169}

ii)Domain of R₂ = {1, 2, 3, 4}

Range of R₂ = {1, 1/2, 1/3, 1/4}

Step-by-step explanation:

Hi,

i)R₁ = {(a, a²) / a is prime number less than 15}

In Roaster form

R₁ = { (2, 4), (3, 9), (5, 25), (7, 49), (11, 121), (13, 169)}

Domain of R₁ = { 2, 3, 5, 7, 11, 13}

Range of R₁ = {4, 9, 25, 49, 121, 169}

ii)R₂ = {(a, 1/a) / 0 < a < 5, a ∈ N}

IN Roaster form

R₂ = {(1, 1), (2, 1/2), (3, 1/3), (4, 1/4)}

Domain of R₂ = {1, 2, 3, 4}

Range of R₂ = {1, 1/2, 1/3, 1/4}

Hope, it helps !