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Question

Consider a parabola with its axis along the Y-axis. The corresponding function is __-



Correct Answer
A

neither one-one nor onto

Your Answer
B

many-one and onto

Your Answer
C

one-one but not onto

Your Answer
D

one-one and onto


Solution

The correct option is A

neither one-one nor onto


From the graph , it can be seen that for every value of y there are 2 corresponding values of x . So the given function is not one-one.

Also f(x) assumes only non-negative values. So, no negative real number in R(co-domain) has its pre-image in domain R.
 

Therefore, f is not onto as well.

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