# What is a function and its types?

## What is a function and its types?

Ans. 2 The different types of functions are as follows: many to one function, one to one function, onto function, one and onto function, constant function, the identity function, quadratic function, polynomial function, modulus function, rational function, signum function, greatest integer function and so on.

### Which are the types of sets in set theory?

These different types of sets in basic set theory are:

• Finite set: The number of elements is finite.
• Infinite set: The number of elements are infinite.
• Empty set: It has no elements.
• Singleton set: It has one only element.
• Equal set: Two sets are equal if they have same elements.

#### What are the 12 types of functions?

Terms in this set (12)

• Quadratic. f(x)=x^2. D: -∞,∞ R: 0,∞
• Reciprocal. f(x)=1/x. D: -∞,0 U 0,∞ R: -∞,0 U 0,∞ Odd.
• Exponential. f(x)=e^x. D: -∞,∞ R: 0,∞
• Sine. f(x)=SINx. D: -∞,∞ R: -1,1. Odd.
• Greatest Integer. f(x)= [[x]] D: -∞,∞ R: {All Integers} Neither.
• Absolute Value. f(x)= I x I. D: -∞,∞ R: 0,∞
• Linear. f(x)=x. Odd.
• Cubic. f(x)=x^3. Odd.

What are the 6 basic functions?

The basic polynomial functions are: f(x)=c, f(x)=x, f(x)=x2, and f(x)=x3. The basic nonpolynomial functions are: f(x)=|x|, f(x)=√x, and f(x)=1x.

What are the 10 types of functions?

Types of Functions

• Algebraic Function: A function defined by an algebraic expression is called an algebraic function.
• Polynomial Function: A function of the form P(x)=amxn+an–1xn–1+⋯+a1x+a0.
• Linear Function:
• Cubic Function:
• Identity Function:
• Rational Function:
• Trigonometric Function:

## What are the 12 basic functions?

Terms in this set (12)

• The Identity Function. y=x. Domain: ALL REALS.
• The Squaring Function. y = x^2. Domain: ALL REALS.
• The Cubing Function. y=x^3.
• The Reciprocal Function. y=1/x.
• The Square Root Function. y=√x.
• The Absolute Value Function. y=|x|
• The Greatest Integer Function. y=int(x)
• The Exponential Function. y=e^x.

### What are the basic functions?

A function is a rule that assigns to every x value in the domain, one and only one y value in the range. Definition. A function is one-to-one if for every y value in the range, there is one and only one x value such that f(x) = y. The domain of f−1(x) is R and the range of f−1(x) is D.