Question

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

A

neither one-one nor onto

B

many-one and onto

C

one-one but not onto

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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