Scribd
Upload
18 views1 page

Document 1

A function is a relation between two variables where each value of the independent variable x corresponds to a unique value of the dependent variable y. The document explains various types of equations, including linear, quadratic, and cubic equations, and defines concepts such as domain and range for different functions. It also provides specific examples of domains and ranges for various types of functions, including linear and rational functions.

Uploaded by

Usama Dawood
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
18 views1 page

Document 1

A function is a relation between two variables where each value of the independent variable x corresponds to a unique value of the dependent variable y. The document explains various types of equations, including linear, quadratic, and cubic equations, and defines concepts such as domain and range for different functions. It also provides specific examples of domains and ranges for various types of functions, including linear and rational functions.

Uploaded by

Usama Dawood
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
You are on page 1/ 1

What is Function?

.Function is a Relation Between Two Variables (x,y)


e.g y=x2+1 where x is independent variable and y is dependent variable.
Definition
The relation in which for each value of x there exist a unique value of y.
For Example
y=x2+1
Put x=0 (Because x is independent variable)
y=(0)2+1 , y=1 (which is a unique Answer)
Real Number
The type of number we normally use, such as 1, 15.82, −0.1, 3/4, etc. Positive or negative,
large or small, whole numbers or decimal numbers are all Real Numbers. They are called
"Real Numbers" because they are not Imaginary Numbers. Except (-∞ ∞).

Linear equation
Any equation that can be written in the form of ax+b=0 and power of variable x
is one.
Quadratic equation
Any equation that can be written in the form of ax2+b=0 and the power of variable x
is 2.
Cubic equation
Any equation that can be written in the form of ax3+b=0 and the power of variable x is 3.
What is domain?
The value of independent variable x in which the given function is definite.
What is range?
The value of dependent variable y is called range..

Domain of Linear function= All real numbers.


Range of linear Function= All real number

Domain of a/x function=All real number - {0}


Range of a/x function =All real number -{0}

Domain of 5/x+1=All real number - {-1}


Range of 5/x+1=All real number - {0}

Domain of a/ax+b=All real number - {-b/a}


Range of a/ax+b=All real number - {0}

Domain of 2/3x+5=All real number - {-5/3) (tricky method)


Range of 2/3x+5=All real number - {0}

If the function is Linear/Linear


Like as ax+b/cx+d
Domain=All real number - {-d/c} (Tricky method)
Range=All real number -{a/c} (where a is coefficient of x in numerator and c is a coefficient
of x in denominator)

F(x)=5x+3/3x-8 find domain and range?

If the function is in mod like as |x-1|


Domain=All real number
Range =All positive real number
For more see the example 2 and 3.

You might also like