Let A= 1,2,3 and B= 2,4,6,8 . Consider the rule f: A arrow B , f ( x )=2 x ∀ x ∈ A . The domain, codomain and range of f respectively are

Question

Let A= 1,2,3 and B= 2,4,6,8 . Consider the rule f: A arrow B , f ( x )=2 x ∀ x ∈ A . The domain, codomain and range of f respectively are (A)  1,2,3 2,4,6 2,4,6,8  (B)  1,2,3 2,4,6,8 2,4,6  (C)  2,4,6,8 2,4,6,7 1,2,3  (D)  2,4,6 2,4,6,8 1,2,3

Tardigrade Admin · Accepted Answer

Given, f ( x )=2 x , ∀ x ∈ A <img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/mathematics/018e8fb35e347dc8cda19ca9590f40ac-.png" /> Value of function at x =1, f (1)=2(1)=2 Value of function at x=2, f(2)=2(2)=4 Value of function at x=3, f(3)=2(3)=6 Domain of f = 1,2,3 ; Codomain of f = 2,4,6,8 Range of f = 2,4,6

Q. Let $A = {1, 2, 3}$ and $B = {2, 4, 6, 8}$ . Consider the rule $f : A \to B, f (x) = 2 x \forall x \in A .$ The domain, codomain and range of $f$ respectively are

${1, 2, 3}, {2, 4, 6}, {2, 4, 6, 8}$

${1, 2, 3}, {2, 4, 6, 8}, {2, 4, 6}$

${2, 4, 6, 8}, {2, 4, 6, 7}, {1, 2, 3}$

${2, 4, 6}, {2, 4, 6, 8}, {1, 2, 3}$

Given, $f (x) = 2 x, \forall x \in A$

Value of function at $x = 1, f (1) = 2 (1) = 2$
Value of function at $x = 2, f (2) = 2 (2) = 4$
Value of function at $x = 3, f (3) = 2 (3) = 6$
Domain of $f = {1, 2, 3};$
Codomain of $f = {2, 4, 6, 8}$
Range of $f = {2, 4, 6}$

Q. Let A={1,2,3} and B={2,4,6,8}. Consider the rule f:A→B,f(x)=2x∀x∈A. The domain, codomain and range of f respectively are

{1,2,3},{2,4,6},{2,4,6,8}

{1,2,3},{2,4,6,8},{2,4,6}

{2,4,6,8},{2,4,6,7},{1,2,3}

{2,4,6},{2,4,6,8},{1,2,3}