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The function f : R - > R defined by
  • a)
    One-One but not onto
  • b)
    onto but not one-one
  • c)
    neither one-one nor onto
  • d)
    both one-one and onto.
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The function f : R - > R defined bya)One-One but not ontob)onto but...
Since ,f(- 1) = f(1) = 235
i.e., Two real number 1 and -1 have the same image.
So, the function is not one-one and let y = (x2 + l )35 implies Thus, every real number has no pre-image.
So, the function is not onto.
Hence, the function is neither one-one nor onto.
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Most Upvoted Answer
The function f : R - > R defined bya)One-One but not ontob)onto but...
Since ,f(- 1) = f(1) = 235
i.e., Two real number 1 and -1 have the same image.
So, the function is not one-one and let y = (x2 + l )35 implies Thus, every real number has no pre-image.
So, the function is not onto.
Hence, the function is neither one-one nor onto.
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The function f : R - > R defined bya)One-One but not ontob)onto but not one-onec)neither one-one nor ontod)both one-one and onto.Correct answer is option 'C'. Can you explain this answer?
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