Consider the function f:R →{0, 1} such thatQ.Which one of the following is correct?a)The function is one-one intob)The function is many One intoc)The function is one-one ontod)The function is many one ontoCorrect answer is option 'D'. Can you explain this answer?

Question

Consider the function f:R &rarr;{0, 1} such thatQ.Which one of the following is correct?a)The function is one-one intob)The function is many One intoc)The function is one-one ontod)The function is many one ontoCorrect answer is option 'D'. Can you explain this answer?

Answer

Since, on taking a straight line parallel to x-axis, the group of given function intersect it at many points.
So, f(x) is a many one.
And as range of f(x) = codomain
So, f(x) is onto.
Hence, f(x) is many one onto.

Answer

Since, on taking a straight line parallel to x-axis, the group of given function intersect it at many points.
So, f(x) is a many one.
And as range of f(x) = codomain
So, f(x) is onto.
Hence, f(x) is many one onto.

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