When the wick is lit, the kerosene in the wick undergoes a chemical reaction with oxygen in the air to
release energy in the form of light.
Which change to the device would increase the amount of time the lantern provides light?

The case considered is of a kerosene lamp. Kerosene acts as a fuel to generate light. It undergoes combustion where it reacts with oxygen in the air to release light. The wick draws the kerosene and burns it. To increase the amount of time the lantern provides, we can decrease the length of the wick to avoid more consumption of the kerosene. Before lighting the wick, we first need to check the quantity of the kerosene present and also ensure to change the wick at least once a year.

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 .