A vector has components x =4 , y =2. When the vector is multiplied by the scalar 9, how does its magnitude and direction change?
A. magnitude: increases by a factor of 9; direction unchanged
B. magnitude: increases by a factor of 3; direction: unchanged
C. magnitude and direction are both unchanged
D. magnitude: unchanged; direction: increases by 180°

what was the answer?

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 .