Religion, astrology, and handwriting analysis are all believed in and used by many people. how are they different from psychology? a) psychology is a science, and the others are pseudosciences b) only psychology has books written about it c) only religion, handwriting analysis, and astrology can be scientifically proven. d) religion, astrology, and handwriting analysis are about things not on earth, where psychology is about what is on earth.

The correct option is: A) Psychology is a science, and the others are pseudosciences.

Psychology is considered as the scientific study of the human mind and people's behaviour.

Religion is a set of beliefs about the creation of the universe, our world and the moral code that rules the conduct of human beings. It is not considered a science.

Astrology is the study of the movements and positions of celestial bodies (sun, planets, stars, etc.) and how they affect future events and people's personalities. It is not considered a science.

Handwriting analysis is the examination of someone's writing in order to know about his/her character. It is not considered a science.

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 .