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Direction: Read the following text and answer the following questions n the basis of the same:
Raji visited the Exhibition along with her family. The Exhibition had a huge swing, which attracted many children. Raji found that the swing traced the path of a Parabola as given by y = x2.
Let f : R → R be defined by f(x) = x2 is_________
  • a)
    Neither Surjective nor Injective
  • b)
    Surjective
  • c)
    Injective
  • d)
    Bijective
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Direction: Read the following text and answer the following questions...
F : R ® R be defined by f(x) = x2
∵ f(–1) = f(1) = 1, but –1 ≠ 1
∴ f is not injective
Now, –2 ∈ R. But, there does not exist any element x ∈ R such that f(x) = –2 or x2 = –2
∴ f is not surjective.
Hence, function f is neither injective nor surjective.
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Direction: Read the following text and answer the following questions n the basis of the same:Raji visited the Exhibition along with her family. The Exhibition had a huge swing, which attracted many children. Raji found that the swing traced the path of a Parabola as given by y = x2.Let f : R → R be defined by f(x) = x2 is_________a)Neither Surjective nor Injectiveb)Surjectivec)Injectived)BijectiveCorrect answer is option 'A'. Can you explain this answer?
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Direction: Read the following text and answer the following questions n the basis of the same:Raji visited the Exhibition along with her family. The Exhibition had a huge swing, which attracted many children. Raji found that the swing traced the path of a Parabola as given by y = x2.Let f : R → R be defined by f(x) = x2 is_________a)Neither Surjective nor Injectiveb)Surjectivec)Injectived)BijectiveCorrect answer is option 'A'. 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 Direction: Read the following text and answer the following questions n the basis of the same:Raji visited the Exhibition along with her family. The Exhibition had a huge swing, which attracted many children. Raji found that the swing traced the path of a Parabola as given by y = x2.Let f : R → R be defined by f(x) = x2 is_________a)Neither Surjective nor Injectiveb)Surjectivec)Injectived)BijectiveCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Direction: Read the following text and answer the following questions n the basis of the same:Raji visited the Exhibition along with her family. The Exhibition had a huge swing, which attracted many children. Raji found that the swing traced the path of a Parabola as given by y = x2.Let f : R → R be defined by f(x) = x2 is_________a)Neither Surjective nor Injectiveb)Surjectivec)Injectived)BijectiveCorrect answer is option 'A'. Can you explain this answer?.
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