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Let 
be defined by 
Then, the function f is
be defined by Then, the function f is
- a)bijective
- b)Surjective
- c)neither injective nor surjective
- d)Injective
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
Letbe defined byThen, the function f isa)bijectiveb)Surjectivec)neithe...
F(n) = n+2 if n is odd
so if n=1
f(n)= 3
if n=3 , f(n)=5
On the other hand
F(n)= n+3 if n is even
if n= 2,f(n)=5
if n=4 ,f(n)= 7
clearly
f(3)=f(2)=5
but 3 does not equals to 3
so it is not one one i.e. injective
also 1€N i.e. codomain
but here 1€ range
range does not equals to codomain
so it is not surjective.
option C is correct.
so if n=1
f(n)= 3
if n=3 , f(n)=5
On the other hand
F(n)= n+3 if n is even
if n= 2,f(n)=5
if n=4 ,f(n)= 7
clearly
f(3)=f(2)=5
but 3 does not equals to 3
so it is not one one i.e. injective
also 1€N i.e. codomain
but here 1€ range
range does not equals to codomain
so it is not surjective.
option C is correct.
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Community Answer
Letbe defined byThen, the function f isa)bijectiveb)Surjectivec)neithe...
F(n) = n+2 if n is odd
so if n=1, then f(1)= 3
if n=3 , f(3)=5
On the other hand
F(n)= n+3 if n is even
if n= 2,f(2)=5
if n=4 ,f(4)= 7
Clearly f(3) = f(2) = 5
but 3 does not equals to 3, so it is not one one i.e. injective also 1€N
i.e. codomain
but here 1€ range does not equals to codomain so it is not surjective.
so if n=1, then f(1)= 3
if n=3 , f(3)=5
On the other hand
F(n)= n+3 if n is even
if n= 2,f(2)=5
if n=4 ,f(4)= 7
Clearly f(3) = f(2) = 5
but 3 does not equals to 3, so it is not one one i.e. injective also 1€N
i.e. codomain
but here 1€ range does not equals to codomain so it is not surjective.
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Letbe defined byThen, the function f isa)bijectiveb)Surjectivec)neither injective nor surjectived)InjectiveCorrect answer is option 'C'. Can you explain this answer?
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Letbe defined byThen, the function f isa)bijectiveb)Surjectivec)neither injective nor surjectived)InjectiveCorrect answer is option 'C'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Letbe defined byThen, the function f isa)bijectiveb)Surjectivec)neither injective nor surjectived)InjectiveCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Letbe defined byThen, the function f isa)bijectiveb)Surjectivec)neither injective nor surjectived)InjectiveCorrect answer is option 'C'. Can you explain this answer?.
Letbe defined byThen, the function f isa)bijectiveb)Surjectivec)neither injective nor surjectived)InjectiveCorrect answer is option 'C'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Letbe defined byThen, the function f isa)bijectiveb)Surjectivec)neither injective nor surjectived)InjectiveCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Letbe defined byThen, the function f isa)bijectiveb)Surjectivec)neither injective nor surjectived)InjectiveCorrect answer is option 'C'. Can you explain this answer?.
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