In mathematics, various types of graphs are used to visually represent data, functions, and relationships. Here are some common types of graphs:

## 1. Line Graph

A line graph is a graph that represents data using points connected by straight lines. It is commonly used to show the relationship between two variables, where one variable is plotted on the x-axis and the other on the y-axis. Line graphs are often used to track changes over time or to show trends.

## 2. Bar Graph

A bar graph uses rectangular bars of varying heights to represent data. The length of each bar corresponds to the value of the data it represents. Bar graphs are typically used to compare different categories or groups and to display discrete data.

## 3. Pie Chart

A pie chart is a circular graph divided into sectors that represent different categories or groups. The size of each sector is proportional to the quantity or percentage it represents. Pie charts are commonly used to show the composition or distribution of a whole.

## 4. Scatter Plot

A scatter plot is a graph that displays individual data points as dots on a coordinate plane. It is used to examine the relationship between two variables and to identify patterns or correlations between them. Scatter plots are especially useful in analyzing and visualizing scientific or experimental data.

## 5. Histogram

A histogram is a graphical representation of a frequency distribution. It consists of adjacent rectangles (bars) that represent the frequency or count of data falling within specific intervals or bins. Histograms are used to visualize the distribution and spread of numerical data.

## 6. Box-and-Whisker Plot

A box-and-whisker plot, also known as a box plot, displays a summary of a set of data values. It shows the minimum, first quartile, median, third quartile, and maximum values of the data. Box plots are useful for comparing data sets and identifying measures of central tendency and variability.

## 7. Function Graphs

Function graphs represent mathematical functions, with the independent variable typically plotted on the x-axis and the dependent variable on the y-axis. Common types of function graphs include linear graphs (representing linear functions), quadratic graphs (representing quadratic functions), exponential graphs (representing exponential functions), and trigonometric graphs (representing trigonometric functions).

These are just a few examples of the many types of graphs used in mathematics. The choice of graph depends on the nature of the data or function being represented and the specific purpose or analysis required.