Posts Tagged ‘graph’
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 Draw Best-Fitting Lines
Description
A detailed tutorial on how to draw best-fitting lines. Step by step tutorial including several examples on how to draw best-fitting lines for reference.
Overview
Best-fitting lines are lines that are drawn on a graph or on scatter plots. However, a best-fitting line is different than a normal line found on a graph. A normal graph simply requires you to connect the dots. A best fitting line focuses not on what dots to connect, but how to connect them. The line will curve or go in different directions, not just straight to the other line, depending on the relationship of the two dots to each other. Best-fitting lines typically require more information than simply the graph, you must explore the equation and each point to find the true relationships, and from that you can find the best-fitting line.
Tags: algebra, best, best-fitting, connect, coordinate, curve, direction, dots, equation, fitting, graph, line, plot, points, relationship, scatter, straight
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
How to Make a Circle Graph
Description
A detailed tutorial on how to make circle graphs. Step by step tutorial including several examples of how to make circle graphs for reference.
Overview
Circle graphs, also referred to as pi charts to avoid confusing them with graphs on the coordinate plane, are graphs in the shape of a circle that deal with a specific set of data. Circle graphs deal with percentages of a whole. The title of the circle graph is your whole, and the circle represents the whole. Then the circle is cut off into different percentages, and each is labelled with the proper category and exactly what percent it is meant to represent. Very often each section of the circle will be a different color to avoid confusion.
Tags: algebra, categories, category, chart, circle, color, data, different, graph, label, percent, percentage. title, pi, represent, section, set
Posted in Algebra | No Comments »
Tuesday, November 10th, 2009
How to Make a Bar Graph
Description
A detailed tutorial on how to make bar graphs. Step by step tutorial including several examples on how to make a bar graph for reference.
Overview
A bar graph, also referred to as a bar chart as to not be confused with graphs on the coordinate plane, is a visual expression of a set of data. Bar graphs deal with the real numbers in specific data sets. Typically they are split up into more than one category. A bar is drawn on each category extending to the number associated with that category. Traditionally, bar graphs need to have a title, an assigned label to each axis, and a certain pattern to continue writing numbers in.
Tags: algebra, axis, bar, categories, category, chart, graph, label, number, pattern, set, title, visual
Posted in Algebra | No Comments »
Tuesday, November 10th, 2009
How to Make a Box-and-Whisker Plot
Description
A detailed tutorial on how to make a box-and-whisker plot. Step by step tutorial including several examples of how to make a box-and-whisker plot for reference.
Overview
A box-and-whisker plot is named for it’s resemblance to a cat’s face – the box is the face of the cat, and the lines extending out from either side are known as whiskers. Sometimes box-and-whisker plots are simply called box plots. They are used to graph sets of numbers according to five values: the highest value, known as the maximum, the second highest value, known as the upper quartile, the median, or the middle, the second lowest value, known as the lower quartile, and the lowest value, known as the minimum. The box centers around the median and the whiskers extend out to the other numbers.
Tags: algebra, box, box-and-whisker, boxplot, diagram, graph, highest, line, lower, lowest, maximum, median, middle, minimum, plot, quartile, upper, value, whisker
Posted in Algebra | No Comments »
Friday, October 30th, 2009
How to Determine the Point of Discontinuity
Description
A detailed tutorial on determining the point of discontinuity. Step by step tutorial including several examples of how to determine the point of discontinuity for reference.
Overview
A point of discontinuity is where the graph of a function is discontinuous – this means the graph has a breaking point in it, it break off for a while and starts again somewhere else, or there is a small open circle somewhere on the graph, which would be an actual point of discontinuity. In mathematical terms, the point of discontinuity is the point at which the graph of the function is undefined. Simply look a value of x that will make the function undefined, and that is your point of discontinuity. This is easiest to determine when your function is a fraction.
Tags: a, algebra, break, discontinuity, discontinuous, fraction, function, graph, point, start, stop, undefined, x
Posted in Algebra | No Comments »
Tuesday, October 27th, 2009
Overview of Euclidean Vectors
Description
A detailed tutorial on Euclidean vectors. Step by step tutorial including several examples and visual examples of Euclidean vectors for reference.
Overview
A vector is a geometric object that has both a magnitude (also known as the length) and a direction. They are usually drawn as arrows that have a similar starting point and connect two points together. The difference between different kinds of vectors is what coordinate system is used to describe them. Euclidean vectors are vectors that are described by the Cartesian coordinate system.
Tags: algebra, arrow, cartesian, coordinate, direction, Euclidean, geometric, graph, initial, length, magnitude, point, system, terminal, vector
Posted in Algebra | No Comments »
Friday, October 23rd, 2009
How to Solve Vectors Using Vector Addition
Description
A detailed tutorial on how to solve vectors using vector addition. Step by step tutorial including several examples of vector addition for reference.
Overview
Vector addition involves two vectors that do not have to be equal, and could have different magnitudes and directions. The vectors are referred to as a and b. The formula for vector addition is:
Vector addition is also occassionally referred to as the parallelogram rule, because on a picture diagram of vector addition the shape of a parallelogram is formed.
Tags: addition, algebra, direction, equal, formula, graph, magnitude, parallelogram, picture, rule, vector
Posted in Algebra | No Comments »
Thursday, October 22nd, 2009
How to Identify a Concave Function
Description
A detailed tutorial on concave functions. Step by step tutorial including several examples of concave functions and concave down curves for reference.
Overview
When a function forms the graph of a curve, there are two types of functions it could be: a convex function, or a concave function. In this tutorial, we will discuss concave functions. A concave function is one with the endpoints facing down, forming the shape of an upside down bowl. When looking at the graph of a concave function, we say that it is concave down. Concavity can be found by the second derivative test in calculus.
Tags: Calculus, concave, concavity, convex, curve, derivative, down, endpoint, equation, function, graph, interval, second, test, up
Posted in Calculus | No Comments »
