Mrs. newman’s class decides to perform an experiment during a class connect session to determine how long it takes different objects to hit the floor when dropped from the student’s desk. each student dropped three notebooks, one weighing 0.5 pound, one weighing 1.0 pound, and one weighing 2.5 pounds. what would you predict about the times it took for each of them to hit the floor? a) the 0.5lb notebook would hit the floor first b) the 0.5lb notebook would hit the floor last c) the 2.5lb notebook would hit the floor first d) all notebooks would fall at the same time e) all notebooks would remain suspended in the air

D, all notebooks would hit the floor at the same time. The time it takes to hit the floor is independent of their weight, but rather dependent on the acceleration of gravity. Since gravity is constant, they will all hit the floor at the same time.

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 .