Sky maps show celestial spheres, including constellations. true or false

True

Constellation or sky maps divide the celestial sphere into 88 parts (constellations) to help astronomers locate stars and other objects.

True

Explanation:

A celestial sphere is an imaginary sphere with observer at its center. On this sphere, all the celestial objects are assumed to lie. A sky map is a sky chart which shows this celestial sphere. It depicts the night sky on which one can find constellations, clusters, galaxies, nebulae etc.  

Hence, the given statement is true.

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 .