Posts Tagged ‘vertical’
Thursday, December 31st, 2009
How to Write Step Functions
Description
A detailed tutorial on how to write step functions. Step by step tutorial including several examples of how to write step functions for reference.
Overview
A step function, also called a staircase function, is a finite linear combination composed of several different intervals. They are considered to be a piecewise constant function. The graph of a step function is often expressed as steps, or a staircase, which is how it got its name. It simply looks like several disconnected lines, with alternate open and closed ends so that it easily passes the vertical line test for functions.
Tags: closed, combination, constant, diconnected, discrete math, ends, finite, function, graph, intervals, line, linear, lines, open, piecewise, staircase, step, test, vertical
Posted in Discrete Math | No Comments »
Thursday, November 19th, 2009
The X and Y Axis on a Cartesian Graph
Description
A detailed tutorial of the x axis and the y axis. Step by step tutorial including several examples of the x axis and the y axis for reference.
Overview
The the Cartesian coordinate system, there is an x axis and a y axis. The x axis runs horizontally across the system and all first terms in ordered pairs are x coordinates, from the x axis. The y axis runs vertically across the system and all second terms in ordered pairs are y coordinates, from the y axis. The x and y axis work together to use a pattern of right angles and perpendicular lines in order to find ordered pairs and coordinates of x and y on the graph.
Tags: algebra, angle, axis, basic, cartesian, coordinate, graphing, graphs, horizontal, lines, ordered, pairs, perpendicular, right, system, vertical, x, y
Posted in Algebra | No Comments »
Friday, November 13th, 2009
Overview of Negative Slopes
Description
A detailed tutorial on negative slopes. Step by step tutorial including several example problems with negative slopes for reference.
Overview
A negative slope is very similar to a positive slope. It is still in the form of rise over run, and it makes no real difference in an equation if a slope is negative or positive. What it does is change the way you graph it. A positive slope you go up and the to the right. In a negative slope, you will either go up and to the left or down and to the right, depending on if the rise or the run is negative. The main mistake that people make with a negative slope is thinking if they see a negative sign, the slope is definitely negative. This is not true. A negative rise and a negative run actually equals a positive slope, you graph it as going down and going to the left, which still creates a positive slope – and in mathematics, two negatives make a positive.
Tags: diagonal, down, graph, horizontal, left, negative, positive, right, rise, run, slope, up, vertical
Posted in Algebra | No Comments »
Thursday, November 12th, 2009
How to Make a Histogram
Description
A detailed tutorial on how to make a histogram. Step by step tutorial including several examples on how to make a histogram for reference.
Overview
A histogram is similar to a bar chart or bar graph, only it cannot go in either direction – histograms can only have vertical bars. The main difference between them is that bar charts and bar graphs can be used to show the number of items in a category. Histograms are used between two sets of numbers, to show which numbers relate to each other. The numbers themselves each fall under their own category. This is a very common chart to see in the later levels of math, especially statistics, as they reflect statistical data.
Tags: algebra, bar, category, chart, data, difference, graph, histogram, horizontal, number, relationship, set, statistics, vertical
Posted in Algebra | No Comments »
Tuesday, November 10th, 2009
The Numerator and Denominator of a Fraction
Description
A detailed tutorial on the numerator and denominator of a fraction. Step by step tutorial including several examples of numerators and denominators for reference.
Overview
Fractions are well known in the world of mathematics. But when first starting out, you may ask yourself why the fraction appears like it does – split into two parts. You will see a fraction either written horizontal or vertical. In a horizontal fraction, the numerator is the number to the left, and the denominator is the number to the right. In the more common and proper vertical fraction, the numerator is on the top and the denominator is on the bottom. This works when there are whole equations in either the numerator and denominator as well, not just for simpler numbers. The numerator and the denominator should never be split, but algebra tricks can sometimes help to simplify them.
Tags: algebra, arithmetic, bar, denominator, equations, fraction, horizontal, number, numerator, parts, simplify, split, tricks, two, vertical
Posted in Arithmetic | No Comments »
Thursday, November 5th, 2009
Using Tally Marks in Equations
Description
A detailed tutorial om how to use tally marks to solve equations. Step by step tutorial including several examples of tally marks for reference.
Overview
Tally marks are a way of counting that most of us were taught about at a young age – where you count to five by drawing four vertical bars with one diagonal line across them. But tally marks can also be used to help with equations, especially ones with addition and subtraction. As a tally mark is a type of counting numeral that gives you a visual example on solving equations, they can be very useful on simple additon and subtraction problems, as it helps to prove the right answer has been found.
Tags: arithmetic, bar, bars, count, counting, diagonal, five, five-bar, gate, horizontal, lines, numbers, numerals, tally marks, vertical, visual
Posted in Arithmetic | No Comments »
Thursday, October 22nd, 2009
How to Find Nonlinear Asymptotes
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.
Tags: algebra, asymptote, asymptotic, behavior, curve, division, function, horizontal, infinity, limit, linear, nonlinear, oblique, origin, subtraction, vertical
Posted in Algebra | No Comments »
Tuesday, October 20th, 2009
How to Graph the Tangent Function
Description
A detailed tutorial on solving the graph of the tangent function. Step by step tutorial including several examples of how to solve the graph of the tangent function for reference.
Overview
The graph of the tangent function looks a great deal like the graph of x cubed – just repeated several times. The graph of tangent is drawn in a period of pi – meaning a “line” is put down every pi spaces for a guideline on where to draw the graph – and hits all of the major points of the graph, also in intervals of pi. There is no amplitude of the tangent function because it extends up to both negative infinity and positive infinity in vertical directions.
Tags: amplitude, asymptote, function, graph, infinity, intervals, negative, period, pi, positive, tangent, trigonometric, trigonometry, vertical, x, y
Posted in Trigonometry | No Comments »
Friday, October 9th, 2009
Introduction to Zero and Undefined Slopes
Description
Detailed tutorial on undefined and zero slopes. Step by step tutorial including several examples of zero and undefined slopes for reference.
Overview
Zero and undefined slopes are both slopes that do have a definite value to them. They represent very uinigue graphs and lines. A zero slope is a slope of zero over anything – meaning it has a run, but no rise. It is a zero slope because zero divided by anything is simply zero. Zero slopes form horizontal lines. An undefined slope is a slope of anything over zero – meaning it has a rise, but no run. It is an undefined slope because nothing can be divided by zero. Undefined slopes form vertical lines.
Tags: arithmetic, graph, horizontal, line, Math, rise, run, slope, undefined, value, vertical, zero
Posted in Arithmetic | No Comments »
Tuesday, October 6th, 2009
How to Find Oblique Asymptotes
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.
Tags: algebra, asymptote, asymptotes, closer, curves, degree, denominator, distance, farther, function, horizontal, infinity, limit, linear, lines, Math, negative, nonlinear, numerator, oblique, origin, polynomial, positive, slant, straight, vertical, zero
Posted in Algebra | No Comments »
