Let A - 4- 6- 8- 10 and B - 3- 4- 5- 6- 7 and f- A- B be defined by fx - 12x - 1- then represent f by-i An arrow diagram ii A set of ordered pairs iii A table

x #160; f(x) #160;4 #160;3 #160;6 #160;4 #160;8 #160;5 #160;10 #160;6Here A is #160;the Domain f(4)=3 f(6)=4 ...

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Byju's Answer

Standard XII

Mathematics

Definition of Relations

Let A = 4, ...

Question

Let $A = {4, 6, 8, 10}$ and $B = {3, 4, 5, 6, 7}$ and $f : A \to B$ be defined by $f (x) = \frac{1}{2} x + 1$ , then represent $f$ by:
(i) An arrow diagram (ii) A set of ordered pairs (iii) A table

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Solution

$x$ $f (x)$
4 3
6 4
8 5
10 6
Here $A$ is the Domain
$f (4) = 3$
$f (6) = 4$
$f (8) = 5$
$f (10) = 6$

the set Ordered pairs ${(4, 3), (6, 4), (8, 5), (10, 6)}$

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Let A={4,6,8,10} and B={3,4,5,6,7} and f:A→B be defined by f(x)=12x+1, then represent f by:(i) An arrow diagram (ii) A set of ordered pairs (iii) A table

x f(x) 4 3 6 4 8 5 10 6Here A is the Domainf(4)=3f(6)=4f(8)=5f(10)=6the set Ordered pairs {(4,3),(6,4),(8,5),(10,6)}

Let $A = {4, 6, 8, 10}$ and $B = {3, 4, 5, 6, 7}$ and $f : A \to B$ be defined by $f (x) = \frac{1}{2} x + 1$ , then represent $f$ by:
(i) An arrow diagram (ii) A set of ordered pairs (iii) A table

$x$ $f (x)$
4 3
6 4
8 5
10 6
Here $A$ is the Domain
$f (4) = 3$
$f (6) = 4$
$f (8) = 5$
$f (10) = 6$

the set Ordered pairs ${(4, 3), (6, 4), (8, 5), (10, 6)}$