Global temperatures increase, so more permafrost melts, so more methane is released, so global temperatures increase. WHY IS THIS AN EXAMPLE OF A POSITIVE FEEDBACK LOOP?

co2reflects heat radiation back to earth buning coal and oil emits co2 globe warms

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 .