Posts Tagged ‘origin’

Center of a Circle

Thursday, November 19th, 2009

How to Determine the Center of a Circle

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Description

 

A detailed tutorial on how to determine the center of a circle. Step by step tutorial including several examples of the center of a circle for reference.

 

Overview

The center of the circle is very easy to find. It is one of the endpoints of the radius and the midpoint of the diameter. The video shows you how to find it based on a series of accurate drawing. However, there is a mathematical way to find the center of the circle, which is also sometimes called the origin of the circle. Just use the midpoint formula with the diameter. If you have the radius just multiply it by two, because you cannot use the distance formula without already having the coordinates of the origin.

Nonlinear Asymptotes

Thursday, October 22nd, 2009

How to Find Nonlinear Asymptotes

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Description

A detailed tutorial on finding nonlinear asymptotes. Step by step tutorial including several examples of how to find nonlinear asymptotes for reference.

Overview

An asymptote is used to describe the behavior of a curve as it heads away from the origin and towards infinity. Typically it is meant to describe two curves that are doing this, and these curves are said to be asymptotic. In most cases, the asymptote is linear – which means the curves have the same behavior. Whenever someone is talking about an asymptote, they are talking about a linear asymptote unless they specify a different type of asymptote. In rare cases, asymptotes are nonlinear. Both curves are still heading towards infinity, but they do not have the same behavior. This can be determined by the limit of either the subtraction or the division of these curves.

Origin of a Graph

Tuesday, October 13th, 2009

How to Locate the Origin of a Graph

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Description

A detailed tutorial on locating the origin of a graph. Step by step tutorial including several examples of how to locate the origin for reference.

Overview

The origin in mathematical terms means the center. Typically, the term origin is used with a graph in the Cartesian coordinate system. When on a graph, the origin is found at the point (0, 0), where the x-axis and y-axis intersect. Other common things to hear an origin being attributed to are geometrical shapes, most often a circle.

Oblique Asymptotes

Tuesday, October 6th, 2009

How to Find Oblique Asymptotes

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Description

A detailed tutorial on how to find oblique asymptotes. Step by step tutorial including several examples of how to find oblique asymptotes for reference.

Overview

There are several different types of asymptotes. In this tutorial, we will be discussing oblique asymptotes. In order to find the oblique asymptotes of a function, you must first determine if the asymptote slants. If the numerator of a rational function has exactly one degree greater than the denominator, then the function slants and therefore has an oblique asymptote. When you divide the numerator and the denominator, the term or polynomial you get is the oblique asymptote.

Horizontal Asymptotes

Tuesday, September 29th, 2009

How to Find Horizontal Asymptotes

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Description

 

A detailed tutorial on how to find horizontal asymptotes. Step by step tutorial including several examples of how to find horizontal asymptotes for reference.

 

Overview

 

 

There are several different types of asymptotes. In this tutorial, we will be discussing horizontal asymptotes. In order to find the horizontal asymptotes of a function, take the limit of the function to infinity. Every function has a horizontal asymptote if it has a limit to infinity. The limit is your horizontal asymptote.

 

Vertical Asymptotes

Tuesday, September 29th, 2009

How to Find Vertical Asymptotes

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Description

A detailed tutorial on how to find vertical asymptotes. Step by step tutorial including several examples of how to find vertical asymptotes for reference.

Overview

There are several different types of asymptotes. In this tutorial, we will be discussing vertical asymptotes. In order to find the vertical asymptotes of a function, we must first determine if there is a vertical asymptote. There is only a vertical asymptote if the limit of the function is equal to positive or negative infinity. If that is true, then the limit will reveal the vertical asymptote.

Asymptotes

Tuesday, September 29th, 2009

Introduction to Asymptotes

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Description

A detailed tutorial on how to find asymptotes. Step by step tutorial including several examples of how to find asymptotes for reference.

Overview

An asymptote of a curve is a way of describing the behavior of the curve above the origin by comparing it to another curve. The second curve is considered an asymptote of the first if the distance between the two approaches zero as the points themselves extend to infinity. Another way of describing this is that the first curve gets closer to the second as it gets farther from the origin. If the asymptote is a straight line, it is called a linear asymptote.

The Coordinate Plane

Thursday, September 3rd, 2009

A Basic Look at Graphing on the Coordinate Plane


Description

This video outlines the different parts of the graphs and illustrates how to properly label all parts of the coordinate plane. Real world examples are given of graphs and graphing systems. Examples of how to plot points are provided in the video.

Overview

The coordinate plane, or the cartesian plane, is commonly known by math students as a blank graph. Graphs consist of two lines that are perpendicular to each other – the horizontal x axis and the vertical y axis. Each axis has a set of numbers, where the top and right of the lines are positive and the bottom and left of the lines are negative. The very center of the graph is known as the origin. The origin is the point (0, 0). Because of the two lines, the graph is split up into 4 sections, called quadrants. The quadrants are labelled at I, II, III, and IV (roman numerals for 1, 2, 3, and 4). They start at the top right corner and continue counter-clockwise around the graph. Quadrant I is a positive quadrant, Quadrant III is a negative quadrant, and Quadrants II and IV have both positive and negative numbers. Points on the graph are found in these four quadrants. The points are written as (x, y) and can be found by tracing up and down along the number values on the graphs until the two lines meet. The place where the lines meet is your point.

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