Daffodil International University

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Presentation On: Function

Submitted To:

MD. ARIFUZZAMAN (AZ)

Lecturer in Mathematic, Department

of Natural Sciences

Submitted By:

MD. MAHABUB JAHAN

ID: 142-15-4054

Slide overview Function

Some features of function

Variation of Function

Explain of function

Interval

Domain:

Use of Function

Function Let, X and Y are two on empty set.

A formula/rule establishing relation between the numbers of X and Y.

It assigns each value of X to each value of Y then f is called a Function.

Some features of function Even and odd function:

If f(-x)=f(x), so f(x) is call even function.

If f(x)=f(x), so f(x) is called odd function.

One-one function:

f(x1)=f(x2), if x1=x2

f(x1)=f(x2), if x1x2

Onto function:

A function f:x a set to be onto function if for every yY there is a value xsuch that f(x)=y

 

Onto Function Not onto Function

Variation of Function1. Algebraic function

Algebraic function are two kinds of

*Polynomial function

Ex: y=x2+5x-9

*Rational function

Ex: R(x) =

2. Trigonometric function

Example: y=

3. Exponential function

Example: y=

4. Logarithmic function

Example: y=logx

Explain of function y=f(x)

y is a function of x. Where y is a dependent variable and x is an independent variable.

Interval ( )

Ex: 1 (1, 5)

[ ]

Ex: 1 [1, 5]

Domain:

• There are two kinds of Domain.

1. Natural Domain

Y=f(x), Df=

2. Restricted Domain

y=x, Df=

Use of Function:

• We use function in Programming Language to create program or software just like C/C++.

• We can solve many difficult mathematics by using Function.

• Many Industry, Bank and other organization use function for many reason.