Composite Functions

In this article, we you will learn about composite functions, it means that a function can become input of another function. Before you learn about the composite functions, you must be familiar with the arithmetic of functions which means given two function , you will be able to perform basic arithmetic operations on the function … Read more

Transformation of Graphs

Graph of function does not remain the same. It changes its shape or position when values are added, subtracted or multiplied by the equation of the graph. This kind of change in the graph is called a transformation of the graph of functions. You must be familiar with the transformation happens to a graph of … Read more

Types of Functions and Their Graphs

You can identify a function by looking at its graph. This article, we explore different types of function and their graphs. Prerequisite to learn from this article is listed below. There is a relationship between a function and its graph. With the help of a graph of function, you can discover may properties which the … Read more

Odd Even Functions

The graph of equation has symmetry along the x-axis or y-axis. In this article, the symmetry of a graph of function is defined in terms of even and odd function. Prerequisite for this articles is listed below. Even Function Let’s understand the even functions first. The function is even function, if for every x in … Read more

Increasing, Decreasing and Constant Functions

Previously you learned about functions, graph of functions. In this lesson, you will learn about some function types such as increasing functions, decreasing functions and constant functions. These concepts are explained with examples and graphs of the specific functions where ever necessary. Increasing, Decreasing and Constant Functions Functions are increasing, decreasing and constant when you … Read more

Graphs of Functions

In the previous lesson, you learned about functions and different ways to represent a function. One of the way to represent the function is using graphs. In this lesson, you will explore the graphs of functions and understand how to determine the domain and range of function from its graph. You will learn about vertical … Read more

Functions

In the previous lesson, you learned about Cartesian coordinate system, graph of equations and linear equations. These are prerequisites to learn about function in this lesson. A function is a relation between two sets – set A and set B, where each element of set A is related to exactly one element of set B. … Read more

Linear Equations

Linear equations form the basis for linear algebra. In the previous lesson, you learned about graph of equations plotted using points on a Cartesian plane, intercepts and symmetry of graphs. You will learn about a graph of linear equations of two variables in this lesson. The graph of linear equation is a straight line The … Read more

Intercepts and Symmetry of Graph

In the previous lesson, you learned about graph of equations which is points on a Cartesian plane. The graph of equation has some other interesting characteristics. You will learn about two such properties in this lesson – Intercepts and Symmetry of Graph. Intercepts The intercepts are the points where graph touches the x-axis or y-axis. … Read more

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