Why does the girl’s body lurch forward, and at the same, time what happens to the skateboard? A. The back end of the skateboard flipped up, pushing the girl forward. B. The part of the sidewalk the girl was skating toward was higher than the part behind her, causing her to fall forward. C. The girl was stopped by the bump, but the skateboard continued to move forward. D. The skateboard was stopped by the bump, but the girl continued to move forward.

this could be newton#'s law of cooling. the cooling curve is exponential

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 .