Imagine that ice cubes are floating in a large bowl of punch. if there are enough cubes, they will cover the surface of the punch and bump into one another. parts of the cubes will be below the surface of the punch and will displace the punch. will some cubes displace more punch than others? explain your answer

Of course.  Every cube displaces as much water as WEIGHS as much as the cube weighs.  

Since the cubes with the most volume also WEIGH the most, bigger cubes displace more water, and smaller cubes displace less water.

Same goes for icebergs.  For the same reason.

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 .