Pre Calculus Version 1.5.2

# Pre Calculus Version 1.5.2 - P RE C ALCULUS A guide This...

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Austin Schafer 2011 P RE C ALCULUS A guide This guide was compiled for one purpose, to help people who are having difficulty understanding the way Pre Calculus is taught. I think visually, so I wrote this guide visually. I wish you good luck, and please enjoy this resource.

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P REFACE Why make digital notes Many people have asked me why I would go through the effort of making a digital guide to a mathematics course. I have many reasons, at first I really just wanted to use my computer for something new; I thought I could make better notes using a computer. I later learned that my digital notes, which would become this guide, were because they are distributable. A guide of a class is not helpful when there is only one copy of it. The power of these notes lies in their ability to be reproduced. I would be proud to have my work spread to new people, please though, don t take credit for what you didn t write. A guide based on what? I have used many sources in creating this guide. The person who influenced it most was my course teacher, Mr. Torre. I also used the course textbook for reference; the textbook is titled, Precalculus: Graphical, Numerical, Algebraic: Seventh Edition published by Pearson. My final resource was the internet, I would like to give some extra credit to Wikipedia, which is an excellent free resource for even the most complicated mathematics. not better because they were more extensive or better illustrated, they were better
Lines Systems of Equations Matrixes Determinants Cramer's Rule of Expansion by Minors Unit 1 Pre Calculus Page 1

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It is a rational number that describes the 'tilt' of a line. Commonly we think What is a Slope? Specifically, slope is a rate of change of y as x changes, and can be determined by any two points on a line. (Slopes do exist in Quadratic Functions too, see "A New Way To Slope") then the line is horizontal Writing the equation of the line.. Slope Intercept Form Standard Form A and B must be whole integers Point Slope Form slope y-intercept When a function is in standard form, the following equations can be used to determine the characteristics of the line and quickly graph it. Slope Y-intercept X-intercept Vocab Note: Singular Functions have no Inverse Typically a linear has a first degree x-term and y-term. A solution is (5,2), but there is infinitely more. I can represent all the points as a picture on a graph. This linear equation forms a line that is infinitely long, and made of infinite solution points. A line is a representation of all of a linear equations solutions. Linear Equation Point: An infinitely small spot. That can be defined as a location at the intercept of two or more axis values. An example is the point x-value 4, y value 3. This would be written (4,3), and is located at 4 "over(right)" and 3 "up", from the origin, which is an arbitrary point labeled (0,0).
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