Thursday, January 31, 2013

Various Types of Graphs

In mathematics, a graph is an abstract representation of a set of objects where some pairs of the objects are connected by links. The interconnected objects are represented by mathematical abstractions called vertices, and the links that connect some pairs of vertices are called edges. Typically, a graph is depicted in diagrammatic form as a set of dots for the vertices, joined by lines or curves for the edges. (Source: Wikipedia)

Detail Explanation of Various Types of Graphs

various types of graphs:

Line graphs: A line graph is the way of to representing the two pieces of information, which is usually related with respect to each other. This is more useful when comparisons are needed.

Line graphs

Pie Charts: A pie chart or (circle graphs) are normally used in showcasing a wholesome quantity; we have to show that how in this whole quantities are broken into parts.

Pie Charts:

Bar Charts: Bar chart is a type of chart, which has labeled horizontal or vertical bars showing a piece of information and an axis

Bar Charts

Area Graphs are used to view the changes, how it get changed with respect to time. An area graph shows the contribution of to each data series in this form of a picture.

Area Graphs


Another Type of the Problem for Various Types of Graphs


Coordinate type graph:

Plot the various types of graphs in this equation

1. y=x+6

2. y=x2

Solution

Problem 1: Make a graph with this equation

y =x+6

Substitute x=-2,-1, 0,1,2,3

x=-2 y= (-2)+6

By solving it we get

y=4

The ordered pair is (-2, 4)

x=-1 y= (-1)+6

By solving it we get

y=5

The ordered pair is (-1,5)

Similarly

x=0, we get y= 6

x=1, we get y=7

x=2, we get y=8

The co ordinate’s points are (-2,4),(-1,5),(0,6),(1,7), and (2,8)

Plot the table use this various coordinates

 
x y
-2 4
-1 5
0 6
1 7
2 8


Problem 2: Make a graph with this equation

y =x2

Substitute x=-2,-1, 0,1,2,3

x=-2 y= (-2)2

By solving it we get

y=4

The ordered pair is (-2, 4)

x=-1 y= (-1)2

By solving it we get

y=1

The ordered pair is (-1,1)

Similarly

x=0, we get y= 0

x=1, we get y=1

x=2, we get y=4

The co ordinate’s points are (-2,4),(-1,1),(0,0),(1,1), and (2,4)

Plot the table use this various coordinates


x y
-2 4
-1 1
0 0
1 1
2 4

Plot the graph for this various tables

various types of graphs

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