Billy wants to investigate how far his battery powered toy car goes for certain time intervals. In his lap, he choose specific time intervals, and recorded the distance the car goes for over time. In this scenario what would be considered the independent variable?

the five characteristics of adolescence are biological growth and development, and undefined status, increased decision making, increased pressure and the search of self.

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 .