All examples involve chemical energy except a. working muscles using food. b. burning a candle. c. coasting downhill on a bike

Coasting downhill on a bike

Explanation:

The example that involves chemical energy are working muscles using food and burning a candle. In both of these processes many biochemical processes are involved i.e. mobilization of energy from glucose stores etc.

Coasting downhill on a bike does not involve any chemical energy. There exists an energy change i.e. potential energy is converting to kinetic energy.

Hence, the correct option is (c) "coasting downhill on a bike".

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 .