Instruction
Active
Calculating Gravitational Potential Energy
An 85-kg rock climber, when reaching the summit, built up 250,000 J of gravitational potential energy. How high did
the climber go?
meters

3.2x10^7

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 .