Logic and Set Theory: Relations and Functions

Which of the following is a relation?

• a) y = 2x + 1

• b) x^2 + y= 25

• c) 2x + y = 3

• d) None of the above

Which of the following is not a way to represent a function?

• a) Equation

• b) Table

• c) Graph

• d) Mapping

A Special types of relations and as such a they are special sets?

• a) Functions

• b) Relations

• c) Empty Set

• d) Number lines

Which of the following is a constant function?

• a) y = x^2

• b) y = 3

• c) y = √x

• d) None of the above

Which of the following is a function?

• a) y = 3x - 2

• b) x^2 + 2y^2 = 16

• c) y^2 = x + 3

• d) None of the above

When two ordered pairs in F have the same second components then their first component must be equal?

• a) many to one

• b) many to many

• c) one to one

• d) one to many

What is the other word for One to One Functions?

• a) Bijective

• b) Surjective

• c) Subjective

• d) Injective

The Perpendicular distance of point P from the x-axis are called?

• a) Abscissa

• b) Ordinate

• c) Origin

• d) Axis

If the Function F is both Injective and Surjective, it is called?

• a) Bijective

• b) Surjective

• c) Subjective

• d) Injective

It is the point of intersection of the two coordinate axes?

• a) Abscissa

• b) Ordinate

• c) Origin

• d) Axis