Which of the following changes increases the overall density of the object? a. A block of iron is formed into hollow shape.

b. A submarine fills its ballast tanks with water.

c. A submarine fills its ballast tanks with air.

d. A fish increases the amount of gas in its swim bladder.

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 .