Runners in a 400 m race
complete one circuit of a
track. what is their
displacement at the end of
the race?

0 m

Explanation:

Displacement is the distance between the starting position and the final position.  Since the runners end up back where they started, their displacement is 0 m.

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 .