A 25- cents coin is placed on top of an index card which is placed on top of a plastic container. When the index card is flicked with a finger sideward, the coin does not move

with the direction of the force, rather it falls inside the container. What do you think is the

reason why it does not move with the direction of the force?

we have been given a quadratic function and we need to restrict the domain such that it becomes a one to one function.

we know that vertex of this quadratic function occurs at (5,2).

further, we know that range of this function is .

if we restrict the domain of this function to either or , it will become one to one function.

let us know find its inverse.

upon interchanging x and y, we get:

let us now solve this function for y.

hence, the inverse function would be if we restrict the domain of original function to and the inverse function would be if we restrict the domain to .