Tuesday, October 20th, 2009
An Overview of Basic Graphs
Description
A detailed tutorial on seven different basic graphs. Step by step tutorial including several visual examples of seven different basic graphs for reference.
Overview
A lot of time in any math class is devoted to the subject of graphs and graphing. But forming a graph when you are only given an equation can be difficult – unless you have some basic graphs memorized. Once you have these seven graphs memorized, it is very easy to follow the patterns in the equation and and simply fix your basic graphs to fit these new requirements. The basic graphs are the most basic patterns that x can be found in on any function – this is x, x squared, and x cubed. There is also the absolute value of x, the natural log of x, and the exponential function of x. The last one is one divided by x, which while not being a basic form of x, is a very important form.
Tags: absolute value, basic, cubed, divided, equation, exponent, exponential function, function, graph, logarithm, natural log, squared, trigonometry, x, y
Posted in Trigonometry | No Comments »
Thursday, October 8th, 2009
Introduction to Inverse Operations
Description
A detailed tutorial on the different inverse operations. Step by step tutorial including several examples of the different inverse operations for reference.
Overview
Inverse operations are operations that undo each other – for example, if you do something a problem, and then use the inverse operation, it should be like it never happened. Common inverse functions are addition and subtraction, multiplication and division, square roots and squaring, and logarithms and exponents.
Tags: addition, arithmetic, division, exponent, inverse, logarithm, Math, multiplication, operation, square roots, squaring, subtraction
Posted in Arithmetic | No Comments »
Thursday, October 1st, 2009
How to Solve Logarithms Using the Change-of-Base Rule
Description
A detailed tutorial on solving logarithms with the change-of-base rule. Step by step tutorial including several examples of how to solve logarithms using the change-of-base rule for reference.
Overview
The change-of-base rule is typically only used when solving logarithms with a calculator. It allows you to use a number besides the calculator presets. Tha change-of-base rule states that:
In this formula, b must not be equal to one, as the logarithm of one is simply zero. This formula also implies that all logarithms are similar to each other.
Tags: algebra, base, calculator, change, change-of-base, log, logarithm, Math, rule, similar, theorem
Posted in Algebra | No Comments »
