Explain how to identify a starting position on a line.

We can easily find out the beginning point of the line by using dot representation. When it comes to the position vector, it expresses the exact position of a certain object from the starting point of the coordinate system. The vector is a straight line that has a certain end that is fixed to its body.

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 .