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22 votes
22 votes
Given that A = {1, 2, 3, 4, 5, 6] maps respectively to B = {3, 4, 5, 6, 7, 8). Find an injective function f(x) such that f: A → B. Hint: Can you depict any relationship between sets A and B?​

User Rapfaria
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2 Answers

23 votes
23 votes
f(x)=x+2

If A were to equal 1 then B would equal 2 since 2 is added each time creating this table
Given that A = {1, 2, 3, 4, 5, 6] maps respectively to B = {3, 4, 5, 6, 7, 8). Find-example-1
User Vaibhav Bajpai
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2.6k points
13 votes
13 votes

Answer: f(x) = x + 2

Explanation:

A = {1, 2, 3, 4, 5, 6]

B = {3, 4, 5, 6, 7, 8)

for each A, B is 2 more

f(1) = 1 + 2 = 3

f(2) = 2 + 2 = 4

f(3) = 3 + 2 = 5

and so on...

⇒ f(x) = x + 2

User Peril Ravine
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3.1k points