The order of evolutionary stages of a star like the sun would be main sequence, giant, planetary nebula, and finally:
a) hypernova. b) neutron star. c) black hole. d) nova. e) white dwarf.

Option E

Explanation:

Red Dwarfs are abundant throughout the universe. They are stable and considered to be candidates for exoplanets capable of sustaining life.

White Dwarfs are stars in the last phase of their evolution. A red giant of under 10 solar masses that has used its critical elements will shed its outer layers, stats to collapse under its own gravity and shrink to a white dwarf. They longer experience nuclear fusion.

The two bodies we are most interested in are Giants and Supergiants but it is important to look at others.

Neutron Stars are collapsed giants that had an original mass many times that of the Sun and explode as a supernova leaving a neutron star. These stars are compressed so much that they are composed entirely of neutrons, parts of the atom without electrical charge. This is the equivalent of the size of the Sun in the same area as a city or the human population on Earth fitting inside an area the size of a sugar cube.

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 .